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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #14 : Circumference

What is the circumference of a circle with a diameter of $2\sqrt2$ ?

Possible Answers:

$4\pi$

$2\sqrt2$

$8\pi$

$2\pi \sqrt{2}$

$4\pi \sqrt{2}$

Correct answer:

$2\pi \sqrt{2}$

Explanation:

Write the formula for the circumference of a circle.

$C=\pi D$

Substitute the diameter into the equation.

$C=\pi 2\sqrt2$

The answer is: $2\pi \sqrt{2}$

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Example Question #15 : Circumference

Determine the circumference of a circle with a radius of $\frac{\pi}{4}$ .

Possible Answers:

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

$\frac{\pi}{8}$

$\frac{1}{2}$

$\frac{\pi }{2}$

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

Correct answer:

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

Explanation:

Write the formula for the circumference of a circle.

$C=\2\pi r$

Substitute the radius.

$C=\2\pi (\frac{\pi}{4}) = \frac{\pi ^2}{2}$

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

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Example Question #51 : Geometry And Graphs

Find the circumference of a circle with a diameter of 9cm.

Possible Answers:

$81\pi \text{ cm}$

$27\pi \text{ cm}$

$36\pi \text{ cm}$

$9\pi \text{ cm}$

$18\pi \text{ cm}$

Correct answer:

$9\pi \text{ cm}$

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 the diameter of the circle is 9cm. So, we will substitute. We get

$C = \pi \cdot 9\text{cm}$

$C = 9\pi \text{ cm}$

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Example Question #16 : Circumference

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

Possible Answers:

$\pi\sqrt{3}$

$2\pi\sqrt{3}$

$4\pi\sqrt{3}$

$2\sqrt{3}$

$6\pi\sqrt{3}$

Correct answer:

$4\pi\sqrt{3}$

Explanation:

For this question, you need to first use the area to calculate your circle's radius. From that, you can then calculate the circumference of the circle. Recall that the area of a circle is defined as:

$A=\pi r^2$

For your data, this means:

$12\pi=\pi r^2$

Solving for , you get...

12=r^2

$r=\sqrt{12}=\sqrt{4*3}=2\sqrt{3}$

Now, the circumference of a circle is calculated as:

$C=2\pi r$

For your data, this is:

$C=2\pi*2\sqrt{3}=4\pi\sqrt{3}$

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Example Question #56 : Geometry And Graphs

Evaluate the circumference of a circle if the radius is $\frac{3}{4}$ .

Possible Answers:

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

$2\pi$

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

$3\pi$

$\frac{4}{3}\pi$

Correct answer:

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

Explanation:

Write the equation for the circumference of a circle.

$C=2\pi r$

Substitute the radius and solve.

$C=2\pi (\frac{3}{4}) = \frac{6}{4}\pi = \frac{3}{2}\pi$

The answer is: $\frac{3}{2}\pi$

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Example Question #61 : Circles

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

Possible Answers:

$27\pi \text{ in}$

$4.5\pi \text{ in}$

$18\pi \text{ in}$

$3\pi \text{ in}$

$81\pi \text{ in}$

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 : Circles

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

Possible Answers:

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

$\pi^2$

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

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

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

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:

$6\sqrt\pi$

$9\sqrt{\pi}$

$3\sqrt\pi$

$12\sqrt{\pi}$

$18\sqrt{\pi}$

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 : Geometry And Graphs

Let $\pi=3.14$

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

Possible Answers:

$50.24\text{in}$

$43.96\text{in}$

$37.68\text{in}$

$153.86\text{in}$

$21.98\text{in}$

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 #21 : Circumference

Circle 1

Give the circumference of the above circle.

Possible Answers:

$14 \pi$

$49 \pi$

$7 \pi$

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

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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All GED Math Resources

4 Diagnostic Tests 263 Practice Tests Question of the Day Flashcards Learn by Concept

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #14 : Circumference

Example Question #15 : Circumference

Example Question #51 : Geometry And Graphs

Example Question #16 : Circumference

Example Question #56 : Geometry And Graphs

Example Question #61 : Circles

Example Question #62 : Circles

Example Question #63 : Geometry And Graphs

Example Question #64 : Geometry And Graphs

Example Question #21 : Circumference

All GED Math Resources

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