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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

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

Example Questions

Example Question #66 : Geometry And Graphs

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

Possible Answers:

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

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

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

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

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

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 #22 : Circumference

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

Possible Answers:

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

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

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

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

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

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 #21 : Circumference

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

Possible Answers:

$8\pi x^6+2$

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

$8\pi x^6+4$

$8\pi x^3+2$

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

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 #61 : Geometry And Graphs

Let $\pi = 3.14$

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

Possible Answers:

$94.985\text{in}$

$69.08\text{in}$

$34.54\text{in}$

$379.94\text{in}$

$17.27\text{in}$

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 #69 : Geometry And Graphs

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

Possible Answers:

$2x\pi +\pi$

$2x\pi +1$

$2x\pi +2\pi$

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

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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Example Question #71 : Geometry And Graphs

Determine the circumference of the circle with a radius of $2\pi^3$ .

Possible Answers:

$16\pi^4$

$4\pi^4$

$8\pi^4$

$16\pi^3$

$4\pi^3$

Correct answer:

$4\pi^4$

Explanation:

Write the formula for the circumference of a circle.

$C= 2\pi r$

Substitute the radius.

$C= 2\pi (2\pi ^3)= (2\pi )(2\pi^3 )$

The answer is: $4\pi^4$

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Example Question #32 : Circumference

Determine the circumference of a circle with an area of .

Possible Answers:

$6\sqrt{\pi}$

$3\sqrt{2\pi}$

$18\pi$

$2\sqrt{\pi}$

$6\sqrt{2\pi}$

Correct answer:

$6\sqrt{\pi}$

Explanation:

Write the formula for the circumference and area of the circle.

$C=2\pi r$

$A=\pi r^2$

Given the area, we will need to find the radius, which can be used to find the circumference. Substitute the area into the area equation.

$9=\pi r^2$

Solve for .

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

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

Square root both sides.

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

$r=\sqrt{\frac{9}{\pi }}= \frac{3}{\sqrt{\pi}}$

Substitute this back into the circumference equation.

$C=2\pi r = 2\pi \frac{3}{\sqrt{\pi}} = \frac{6\pi}{\sqrt{\pi}} = \frac{6 \sqrt{\pi} \cdot \sqrt{\pi}}{\sqrt{\pi}}$

The answer is: $6\sqrt{\pi}$

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Example Question #1031 : Ged Math

Find the circumference with a radius of 50.

Possible Answers:

$100 \pi$

$200\pi$

$50\pi$

$250\pi$

$2500\pi$

Correct answer:

$100 \pi$

Explanation:

Write the formula to find the circumference of a circle.

$C=2\pi r$

Substitute the radius into the equation.

$C=2\pi (50)$

The circumference is: $100 \pi$

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Example Question #72 : Circles

Find the circumference of a circle with the diameter of 2x-5 .

Possible Answers:

$\pi x -\frac{5}{2}$

$2\pi x -5\pi$

$2\pi x -5$

$\pi x -5$

$\pi x -\frac{5}{2}\pi$

Correct answer:

$2\pi x -5\pi$

Explanation:

Write the formula for the circumference of a circle.

$C=\pi D$

Substitute the diameter.

$C=\pi (2x-5) = 2\pi x -5\pi$

The answer is: $2\pi x -5\pi$

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Example Question #35 : Circumference

A circle has a radius of 10cm. Find the circumference.

Possible Answers:

$20\pi \text{ cm}$

$100\pi \text{ cm}$

$10\pi \text{ cm}$

$50\pi \text{ cm}$

$15\pi \text{ cm}$

Correct answer:

$20\pi \text{ cm}$

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 of the circle is 10cm. So, we will substitute. We get

$C = 2 \cdot \pi \cdot 10\text{cm}$

$C = 2 \cdot 10\text{cm} \cdot \pi$

$C = 20\text{cm} \cdot \pi$

$C = 20\pi \text{ cm}$

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All GED Math Resources

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GED Math : GED Math

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #66 : Geometry And Graphs

Example Question #22 : Circumference

Example Question #21 : Circumference

Example Question #61 : Geometry And Graphs

Example Question #69 : Geometry And Graphs

Example Question #71 : Geometry And Graphs

Example Question #32 : Circumference

Example Question #1031 : Ged Math

Example Question #72 : Circles

Example Question #35 : Circumference

All GED Math Resources

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