How to find the area of a sector - Geometry
Card 0 of 164

The radius of the circle above is
and
. What is the area of the shaded section of the circle?
The radius of the circle above is and
. What is the area of the shaded section of the circle?
Area of Circle = πr2 = π42 = 16π
Total degrees in a circle = 360
Therefore 45 degree slice = 45/360 fraction of circle = 1/8
Shaded Area = 1/8 * Total Area = 1/8 * 16π = 2π
Area of Circle = πr2 = π42 = 16π
Total degrees in a circle = 360
Therefore 45 degree slice = 45/360 fraction of circle = 1/8
Shaded Area = 1/8 * Total Area = 1/8 * 16π = 2π
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Find the approximate area of the shaded portion of the figure.

Find the approximate area of the shaded portion of the figure.
The answer is approximately
.
First, you would need to find the diameter of the circle. Use the Pythagorean Theorem to get

or

Since the diameter is 130, we divide by 2 to get 65 cm for our radius. Then the area of the circle is

Next we would find the area of each triangle:

and

Then we would subtract these from our answer above to get:
.
The answer is approximately .
First, you would need to find the diameter of the circle. Use the Pythagorean Theorem to get
or
Since the diameter is 130, we divide by 2 to get 65 cm for our radius. Then the area of the circle is
Next we would find the area of each triangle:
and
Then we would subtract these from our answer above to get:
.
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Give the area of a sector of a circle if its central angle is
and the length of its arc is 10 inches. Write the answer in terms of
, if applicable.
Give the area of a sector of a circle if its central angle is and the length of its arc is 10 inches. Write the answer in terms of
, if applicable.
The arc of the
sector measures 10 inches, so the circumference of the entire circle is

The radius is therefore

The area of a
sector of this circle measures:


The arc of the sector measures 10 inches, so the circumference of the entire circle is
The radius is therefore
The area of a sector of this circle measures:
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A circle has a diameter of
meters. A certain sector of the circle has a central angle of
. Find the area of the sector.
A circle has a diameter of meters. A certain sector of the circle has a central angle of
. Find the area of the sector.
The formula for the area of a sector is.
where
is the radius and
is the measure of the central angle of the sector.
We are given that the diameter of the circle is 60. Therefore its radius is simply half as long, or 30.
Substituting into our equation gives

Therefore our area is 
The formula for the area of a sector is.
where
is the radius and
is the measure of the central angle of the sector.
We are given that the diameter of the circle is 60. Therefore its radius is simply half as long, or 30.
Substituting into our equation gives
Therefore our area is
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If the sector in the provided illustration has an angle of
and the circle has a radius of
, what is the area of the sector? Round to the nearest tenth.

If the sector in the provided illustration has an angle of and the circle has a radius of
, what is the area of the sector? Round to the nearest tenth.
To solve for the area of the sector, it helps to solve for the area of the complete circle and multiple that value by the sector angle over the full
of a complete circle:

To solve for the area of the sector, it helps to solve for the area of the complete circle and multiple that value by the sector angle over the full of a complete circle:
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Find the area of a sector with a central angle of
degrees and a radius of
.
Find the area of a sector with a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question could be depicted as shown in the figure.

Recall the formula for finding the area of a sector of a circle:

Since the central angle and the radius are given in the question, plug them in to find the area of the sector.

Solve and round to two decimal places.

The circle in question could be depicted as shown in the figure.
Recall the formula for finding the area of a sector of a circle:
Since the central angle and the radius are given in the question, plug them in to find the area of the sector.
Solve and round to two decimal places.
Compare your answer with the correct one above
Find the area of the sector that has a central angle of
degrees and a radius of
.
Find the area of the sector that has a central angle of degrees and a radius of
.
The circle in question can be drawn as shown by the figure below:

Since the area of a sector is just a fractional part of the area of a circle, we can write the following equation to find the area of a sector:
, where
is the radius of the circle.
Plug in the given central angle and radius to find the area of the sector.

Make sure to round to two places after the decimal.
The circle in question can be drawn as shown by the figure below:
Since the area of a sector is just a fractional part of the area of a circle, we can write the following equation to find the area of a sector:
, where
is the radius of the circle.
Plug in the given central angle and radius to find the area of the sector.
Make sure to round to two places after the decimal.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question can be drawn as shown by the figure below:

Since the area of a sector is just a fractional part of the area of a circle, we can write the following equation to find the area of a sector:
, where
is the radius of the circle.
Plug in the given central angle and radius to find the area of the sector.

Make sure to round to two places after the decimal.
The circle in question can be drawn as shown by the figure below:
Since the area of a sector is just a fractional part of the area of a circle, we can write the following equation to find the area of a sector:
, where
is the radius of the circle.
Plug in the given central angle and radius to find the area of the sector.
Make sure to round to two places after the decimal.
Compare your answer with the correct one above
Find the area of a sector that has a central angle of
degrees and a radius of
.
Find the area of a sector that has a central angle of degrees and a radius of
.
The circle in question can be drawn as shown by the figure below:

Since the area of a sector is just a fractional part of the area of a circle, we can write the following equation to find the area of a sector:
, where
is the radius of the circle.
Plug in the given central angle and radius to find the area of the sector.

Make sure to round to two places after the decimal.
The circle in question can be drawn as shown by the figure below:
Since the area of a sector is just a fractional part of the area of a circle, we can write the following equation to find the area of a sector:
, where
is the radius of the circle.
Plug in the given central angle and radius to find the area of the sector.
Make sure to round to two places after the decimal.
Compare your answer with the correct one above