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Basic Geometry : Diameter

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Example Questions

Example Question #51 : Diameter

Find the diameter of a circle whose radius is 5.

Possible Answers:

$25\pi$

$10\pi$

Correct answer:

Explanation:

The diameter of a circle is the width from side to side going through the center on the circle. In other words, the diameter is twice the radius.

To solve, simply use the formula for the diameter of a circle and substitute in the known radius in question.

Thus,

r=5

d=2r=2*5=10

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Example Question #52 : Diameter

Find the length of the diameter of a circle given a radius of 7.

Possible Answers:

$\14\pi$

$7\pi$

Correct answer:

Explanation:

The diameter of a circle is the width from side to side going through the center on the circle. In other words, the diameter is twice the radius.

To solve, simply use the formula for the diameter of a circle and substitute in the known radius in question.

Thus,

d=2r=2*7=14

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Example Question #353 : Circles

Penny recently moved into a Native American Teepee with a floor plan that is a perfect circle and encompasses $300\;ft^2$ . What would be the diameter of the circular floor plan for Penny's Teepee? Round your value to the nearest tenth.

Possible Answers:

$47.7\;ft$

$9.8\;ft$

$19.5\;ft$

$18.7\;ft$

$95.5\;ft$

Correct answer:

$19.5\;ft$

Explanation:

Since we already know the area of the circle, we can look at the equation for circular area to find the diameter:

$Area=\pi\cdot r^2$

$\\300\;ft^2=\pi\cdot r^2\\r^2=\frac{300\;ft^2}{\pi}=\frac{300\;ft^2}{3.14159}=95.49\;ft^2\\r=\sqrt{95.49\;ft^2}=9.77\;ft$

$diameter=2\cdot radius=2\cdot9.77\;ft=19.54\;ft\approx19.5\;ft$

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Example Question #53 : Diameter

Find the length of the diameter of a circle with radius 100.

Possible Answers:

200

10000

$10000\pi$

$200\pi$

Correct answer:

200

Explanation:

To solve, simply use the formula for the diameter. Thus,

d=2r=2*100=200

Don't be fooled by large numbers, simply use the formula how you memorized it. Remember, diameter is just twice the radius.

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Example Question #354 : Circles

A circle has a circumference of $3\pi cm$ . What is the length of the circle's diameter?

Possible Answers:

9 cm

1.5 cm

6 cm

$\pi cm$

3 cm

Correct answer:

3 cm

Explanation:

The formula for the circumference of a circle is:

$C=\pi d$

Since the circumference is $3\pi$ :

$3\pi=\pi d$

We then solve for :

$\frac{3\pi}{\pi}=\frac{\pi d}{\pi}$

d=3

Therefore, the circle's diameter is 3 cm .

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Example Question #361 : Circles

A circle has an area of $3 \pi cm^2$ . What is the diameter of the circle?

Possible Answers:

3 cm

$2\sqrt{3}cm$

$3\sqrt{2}cm$

$\sqrt{3}cm$

$3\pi cm$

Correct answer:

$2\sqrt{3}cm$

Explanation:

The formula for the area of a circle is:

$A=\pi r^2$

Since we know the area is $3\pi$ , we plug that in to solve for the radius:

$3\pi=\pi r^2$

$\frac{3\pi}{\pi}=\frac{\pi r^2}{\pi}$

3=r^2

$r=\sqrt{3}$

Now that we know the radius, we simply double it to find the diameter:

$d=2\sqrt{3}$

So the diameter of the circle is $2\sqrt{3}cm$ .

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Example Question #362 : Circles

From the center of a circle playing field to the edge is 25 yards. This is called the radius. What is the length of the diameter of the field?

Possible Answers:

$100\ Yards$

$25\ Yards$

$40\ Yards$

$12.5\ Yards$

$50\ Yards$

Correct answer:

$50\ Yards$

Explanation:

To find the diameter of a circle, it is from one side of the circle through the center of the circle to the other side. Or if the radius is from the center of a circle to the edge, the diameter must be twice the radius.

d=2r

Since the information given is the radius of the circle we know that r=25 .

Substituting the radius into the above equation we can solve for the diameter.

$\\d=2(25) \\d=50$

Therfore the diameter of this circle is double 25 yards which would be 50 yards.

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Example Question #361 : Circles

The top of a can has a radius of 5cms. What is the length of the diameter of the can?

Possible Answers:

20cms

12.5cms

5cms

15cms

10cms

Correct answer:

10cms

Explanation:

d=2r

Since the information given is the radius of the circle we know that r=5 .

Substituting the radius into the above equation we can solve for the diameter.

$\\d=2(5) \\d=10$

Therfore the diameter of this circle is double 5cms which would be 10cms.

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Example Question #361 : Circles

A circular pool has a circumference of 27 meters. What the diameter of the pool?

Possible Answers:

$15.4\hspace{1mm} meters$

$15\hspace{1mm} meters$

$8.6\hspace{1mm} meters$

$84.8\hspace{1mm} meters$

$10\hspace{1mm} meters$

Correct answer:

$8.6\hspace{1mm} meters$

Explanation:

We find the circumference of circles with the relationship $C=\pi *D$ , where D is diameter.

Since we are given the circumference of the pool, solve for D by dividing both sides by $\pi$ .

$D=\frac{C}{\pi}=\frac{27meters}{\pi} =\mathbf{8.6\hspace{1mm}meters}$

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Example Question #54 : Diameter

If the radius of a circle is 7cm, what is the diameter?

Possible Answers:

3.5cm

4cm

14cm

7cm

49cm

Correct answer:

14cm

Explanation:

The radius is half of the diameter.

2r=d

2(7cm )=d

d=14cm

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Basic Geometry : Diameter

Study concepts, example questions & explanations for Basic Geometry

All Basic Geometry Resources

Example Questions

Example Question #51 : Diameter

Example Question #52 : Diameter

Example Question #353 : Circles

Example Question #53 : Diameter

Example Question #354 : Circles

Example Question #361 : Circles

Example Question #362 : Circles

Example Question #361 : Circles

Example Question #361 : Circles

Example Question #54 : Diameter

All Basic Geometry Resources

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