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GED Math : Circles

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Example Questions

Example Question #91 : Circles

Find the circumference of a circle with a diameter of .

Possible Answers:

40.8

40.3

39.8

41.2

32.7

Correct answer:

40.8

Explanation:

The problem is asking for us to solve for the circumference. However, the only provided information is the circle's diameter. In this kind of a problem, it's important think about how the provided information may relate to the information we need in order to solve for the problem.

The circumference of a circle is determined by the formula: $C=2\pi r$ where r is radius. It can also be written as $C= \pi d$ because the diameter is twice the length of the radius.

We can now easily see that the two concepts, diameter and circumference, are related. Therefore, we just need to substitute the diameter value into the circumference formula to solve.

$C=13 \cdot \pi$

$C= 13 \pi$

C=40.8

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Example Question #1051 : Ged Math

What is the circumference of a circle if it has a radius of 12.2 ?

Possible Answers:

77.6

76.7

73.2

69.5

98.1

Correct answer:

76.7

Explanation:

The circumference of a circle is determined by the formula: $C=2\pi r$ where r is radius.

We can now easily see that the two concepts, radius and circumference, are related. Therefore, we just need to substitute the radius value into the circumference formula to solve.

$C=2 (12.2) \cdot \pi$

$C= 24.4 \pi$

C=76.7

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Example Question #93 : Circles

You and your friends are ordering pizza for your Friday night Mathathon. You decide to order three pizzas, each 16" in diameter. Find the circumference of each pizza to the nearest tenth.

Possible Answers:

150.9in

100.5 in

36.3 in

50.3 in

Correct answer:

50.3 in

Explanation:

You and your friends are ordering pizza for your Friday night Mathathon. You decide to order three pizzas, each 16" in diameter. Find the circumference of each pizza to the nearest tenth.

We are asked to find the circumference of a circle. Don't get too hungry!

We can find the circumference using the following formula:

$C=2\pi r$

Now, we know that 2r=d, so our formula becomes:

$C=d\pi$

Simply plug in our diameter and solve for C!

$C= 16 \pi in= 50.3 in$

So our answer is 50.3 in

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Example Question #91 : Geometry And Graphs

A circle is circumscribed in a square as shown by the figure below.

If the area of the square is 441 , find the circumference of the circle.

Possible Answers:

$42\pi$

$84\pi$

$110.25\pi$

$21\pi$

Correct answer:

$21\pi$

Explanation:

Start by noticing that in the given figure, the diameter of the circle is the same as the length of a side of the square.

Use the area to find the length of a side of a square.

$\text{Side length}=\sqrt{\text{Area}}$

$\text{Side length}=\sqrt{441}=21$

Next, use this to find the circumference of a circle. Recall how to find the circumference of a circle:

$\text{Circumference}=\pi \times \text{diameter}$

$\text{Circumference}=21\pi$

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Example Question #51 : Circumference

Find the circumference of a circle given that the distance from its center to its edge is 6.25 meters.

Possible Answers:

122.71 m

43.27 m

36.27 m

19.53 m

Correct answer:

36.27 m

Explanation:

Find the circumference of a circle given that the distance from its center to its edge is 6.25 meters.

Find the circumference via the following:

$C= 2\pi r$

Now, we have our radius, but the wording is a funny way of putting it. The distance from the center to any point on the edge is the same thing as a radius.

Plug in and chug to get our answer.

$C= 2 \pi (6.25 m) \approx 36.27 m$

So, our answer is 36.27 m

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Example Question #52 : Circumference

Use 3.14 for pi.

What is the circumference of a circle with a radius of 21cm?

Possible Answers:

65.94cm

$1384.74cm^{2}$

$65.94cm^{2}$

131.88cm

$131.88cm^{2}$

Correct answer:

131.88cm

Explanation:

First we need to recognize that we are given the length of the radius which is 21 cm. We need to know that the diameter of a circle is twice the length of the radius, so our diameter is 42cm.

Now we need to recall the formula for circumference of a circle:

$Circumference=D\cdot \pi$

Where is diameter.

We can plug in 42cm for our diameter and use 3.14 for pie

$Circumference=42cm\cdot3.14$

Then we multiply

Circumference= 131.88cm

Notice our answer remains in centimeters

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Example Question #91 : 2 Dimensional Geometry

A circular swimming pool at an apartment complex has diameter 50 feet. The apartment manager needs to purchase a tarp that will cover this pool completely, but the store will only sell the material in multiples of ten square yards. How many square yards will the manager need to buy?

Use 3.14 for $\pi$ .

Possible Answers:

$220 \textrm{ yd}^{2}$

$150 \textrm{ yd}^{2}$

$160 \textrm{ yd}^{2}$

$210 \textrm{ yd}^{2}$

Correct answer:

$220 \textrm{ yd}^{2}$

Explanation:

The radius of the swimming pool is half the diameter, or 25 feet.

The area of the swimming pool is $\pi$ times the square of the radius, or

$\pi \times 25 ^{2} = 3.14 \times 625 = 1,962.5$ square feet, or

$1,962.5 \div 9 \approx 218$ square yards.

The manager will need to buy a number of square yards of tarp equal to the next highest multiple of ten, which is 220 square yards.

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Example Question #1 : Area Of A Circle

A circular swimming pool at an apartment complex has diameter 30 meters. The apartment manager needs to purchase a tarp that will cover this pool completely, but the store will only sell the material in multiples of ten square meters. How many square yards will the manager need to buy?

Use 3.14 for $\pi$ .

Possible Answers:

$700 \textrm{ m}^{2}$

$710 \textrm{ m}^{2}$

$100 \textrm{ m}^{2}$

$110 \textrm{ m}^{2}$

Correct answer:

$710 \textrm{ m}^{2}$

Explanation:

The radius of the swimming pool is half the diameter, or 15 meters.

The area of the swimming pool is $\pi$ times the square of the radius, or

$\pi \times 15 ^{2} = 3.14 \times 225 = 706.5$ square meters.

The manager will need to buy a number of square yards of tarp equal to the next highest multiple of ten, which is 710 square meters.

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Example Question #92 : 2 Dimensional Geometry

Axes_1

Give the circumference of the above circle. Assume each mark on each axis represents one unit.

Possible Answers:

$5 \pi$

$10 \pi$

$100 \pi$

$25 \pi$

Correct answer:

$10 \pi$

Explanation:

The diameter of the circle - the distance from one point to the opposite point - is 10 units, so the circumference is this multiplied by $\pi$ , or $10 \pi$ .

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Example Question #3 : Area Of A Circle

What is the area of a circle with a diameter of $12\pi$ ?

Possible Answers:

$12\pi^2$

$36\pi$

$144\pi$

$36\pi^3$

$144\pi^2$

Correct answer:

$36\pi^3$

Explanation:

Be careful on several counts for this question. First, remember that you need the radius for calculating area. Therefore, since you know that the diameter is $12\pi$ , you can say that the radius is $6\pi$ .

Next, be very careful given that there is already a $\pi$ in your radius. The formula for the area of a circle is:

$A=\pi r^2$

For your data, this is:

$A=\pi (6\pi)^2=\pi * 36\pi^2=36\pi^3$

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GED Math : Circles

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #91 : Circles

Example Question #1051 : Ged Math

Example Question #93 : Circles

Example Question #91 : Geometry And Graphs

Example Question #51 : Circumference

Example Question #52 : Circumference

Example Question #91 : 2 Dimensional Geometry

Example Question #1 : Area Of A Circle

Example Question #92 : 2 Dimensional Geometry

Example Question #3 : Area Of A Circle

All GED Math Resources

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