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GED Math : Circles

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Example Questions

Example Question #61 : Geometry And Graphs

Find the circumference of a circle with a radius of 9in.

Possible Answers:

$3\pi \text{ in}$

$81\pi \text{ in}$

$18\pi \text{ in}$

$4.5\pi \text{ in}$

$27\pi \text{ in}$

Correct answer:

$18\pi \text{ in}$

Explanation:

To find the circumference of a circle, we will use the following formula:

$C = 2 \pi r$

where r is the radius of the circle.

Now, we know the radius is 9in.

So, we can substitute. We get

$C = 2 \cdot \pi \cdot 9\text{in}$

$C = 18\text{in} \cdot \pi$

$C = 18\pi \text{ in}$

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Example Question #62 : Geometry And Graphs

Find the circumference of the circle with a diameter of $\frac{1}{2}\pi$ .

Possible Answers:

$\frac{1}{16}\pi^2$

$\frac{1}{2}\pi^2$

$\pi^2$

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

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

Correct answer:

$\frac{1}{2}\pi^2$

Explanation:

Write the formula for the circumference of the circle.

$C=2\pi r = \pi D$

Substitute the diameter.

$C=\pi (\frac{1}{2}\pi) =\frac{1}{2}\pi^2$

The answer is: $\frac{1}{2}\pi^2$

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Example Question #63 : Geometry And Graphs

What is the circumference of a circle with an area of ?

Possible Answers:

$6\sqrt\pi$

$3\sqrt\pi$

$18\sqrt{\pi}$

$12\sqrt{\pi}$

$9\sqrt{\pi}$

Correct answer:

$6\sqrt\pi$

Explanation:

Write the formula for the area of the circle.

$A=\pi r^2$

Substitute the area.

$9=\pi r^2$

Divide by pi and square root both sides.

$\frac{9}{\pi }=\frac{\pi r^2}{\pi }$

$r=\sqrt{\frac{9}{\pi}}$

Write the formula for the circumference of the circle.

$C=2\pi r$

Plug in the radius.

$C=2\pi\sqrt{\frac{9}{\pi}}$

This can be rewritten as:

$C=2\sqrt{\pi}\cdot \sqrt{\pi} \cdot \frac{\sqrt{9}}{\sqrt{\pi}} = 2\sqrt{\pi}\cdot 3$

The answer is: $6\sqrt\pi$

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Example Question #64 : Circles

Let $\pi=3.14$

Find the circumference of a circle with a radius of 7in.

Possible Answers:

$50.24\text{in}$

$37.68\text{in}$

$43.96\text{in}$

$153.86\text{in}$

$21.98\text{in}$

Correct answer:

$43.96\text{in}$

Explanation:

To find the circumference of a circle, we will use the following formula:

$C = 2 \pi r$

where r is the radius of the circle.

Now, we know $\pi=3.14$ . We know the radius of the circle is 7in. So, we can substitute. We get

$C = 2 \cdot 3.14 \cdot 7\text{in}$

$C = 14\text{in} \cdot 3.14$

$C = 43.96\text{in}$

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Example Question #61 : Circles

Circle 1

Give the circumference of the above circle.

Possible Answers:

$\frac{49 }{4}\pi$

$7 \pi$

$49 \pi$

$14 \pi$

Correct answer:

$7 \pi$

Explanation:

The circumference of a circle - the distance around it - can be found by multiplying its diameter by $\pi$ . The diameter of the circle is equal to 7, so the circumference is $7 \pi$ .

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Example Question #65 : Geometry And Graphs

Determine the circumference of a circle with a radius of $\frac{2}{5}\pi$ .

Possible Answers:

$\frac{4}{25}\pi$

$\frac{4}{5}\pi^2$

$\frac{8}{25}\pi^2$

$\frac{4}{5}\pi$

$\frac{4}{25}\pi^2$

Correct answer:

$\frac{4}{5}\pi^2$

Explanation:

Write the formula for the circumference of a circle.

$C=2\pi r$

Substitute the radius to solve for the circumference.

$C=2\pi( \frac{2}{5}\pi)$

The circumference is: $\frac{4}{5}\pi^2$

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Example Question #62 : Geometry And Graphs

Find the circumference of the circle with a diameter of $\frac{\pi^4}{3}$ .

Possible Answers:

$\frac{\pi^4}{9}$

$\frac{\pi^5}{6}$

$\frac{\pi^5}{3}$

$\frac{\pi^6}{3}$

$\frac{\pi^5}{5}$

Correct answer:

$\frac{\pi^5}{3}$

Explanation:

Write the formula for the circumference of a circle.

$C=2\pi r = \pi D$

Substitute the diameter into the equation.

$C=\pi (\frac{\pi^4}{3}) = \frac{\pi^5}{3}$

The answer is: $\frac{\pi^5}{3}$

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Example Question #67 : Geometry And Graphs

Determine the circumference of the circle with a radius of 4x^3+2 .

Possible Answers:

$8\pi x^6+4$

$8\pi x^6+2$

$8\pi x^3 +4\pi$

$8\pi x^6 +2\pi$

$8\pi x^3+2$

Correct answer:

$8\pi x^3 +4\pi$

Explanation:

Write the formula for the circumference of a circle.

$C=2\pi r$

Substitute the radius into the equation.

$C=2\pi (4x^3+2) = 8\pi x^3 +4\pi$

The answer is: $8\pi x^3 +4\pi$

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Example Question #68 : Geometry And Graphs

Let $\pi = 3.14$

Find the circumference of a circle with a diameter of 11in.

Possible Answers:

$34.54\text{in}$

$17.27\text{in}$

$69.08\text{in}$

$379.94\text{in}$

$94.985\text{in}$

Correct answer:

$34.54\text{in}$

Explanation:

To find the circumference of a circle, we will use the following formula:

$C = \pi d$

where d is the diameter of the circle.

Now, we know $\pi = 3.14$ . We know the diameter of the circle is 11in. So, we can substitute. We get

$C = 3.14 \cdot 11\text{in}$

$C = 34.54\text{in}$

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Example Question #62 : Geometry And Graphs

Find the circumference of a circle with a diameter of 2x+1 .

Possible Answers:

$x\pi +\frac{1}{2}$

$2x\pi +\pi$

$x\pi +\frac{1}{2}$

$2x\pi +1$

$2x\pi +2\pi$

Correct answer:

$2x\pi +\pi$

Explanation:

Write the formula to find the circumference of a circle.

$C=\pi D$

Substitute the diameter.

$C=\pi (2x+1)$

Distribute the pi.

The answer is: $2x\pi +\pi$

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GED Math : Circles

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #61 : Geometry And Graphs

Example Question #62 : Geometry And Graphs

Example Question #63 : Geometry And Graphs

Example Question #64 : Circles

Example Question #61 : Circles

Example Question #65 : Geometry And Graphs

Example Question #62 : Geometry And Graphs

Example Question #67 : Geometry And Graphs

Example Question #68 : Geometry And Graphs

Example Question #62 : Geometry And Graphs

All GED Math Resources

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