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GED Math : GED Math

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

Example Questions

Example Question #2 : 2 Dimensional Geometry

What is the diameter of a circle with an area of $144\pi$ ?

Possible Answers:

$24\pi$

$12\pi$

Correct answer:

Explanation:

In order to solve this question, start by finding the radius. Recall that the area of a circle is computed as:

$A=\pi r^2$

For our data, this is:

$144\pi = \pi r^2$

Solving for , we get:

144=r^2 or r=12

Now, recall that the diameter is double the radius. Thus, it is .

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Example Question #3 : 2 Dimensional Geometry

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

Possible Answers:

$17\pi$

Cannot be computed from the information provided

$\frac{17}{\pi}$

$\frac{34}{\pi}$

$34\pi$

Correct answer:

$\frac{17}{\pi}$

Explanation:

Recall that the circumference formula is:

$C=2\pi r$

Now, for your data, this gives you:

$17=\pi r$

You need to be careful, for some students get confused when they have to divide by $\pi$ . However, just treat it like any other number or variable. This means that you can solve for and get:

$r=\frac{17}{\pi}$

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Example Question #2 : Geometry And Graphs

What is the diameter of a circle given the area of 30?

Possible Answers:

$2\sqrt{\frac{15}{\pi}}$

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

$2\sqrt{\frac{30}{\pi}}$

$\sqrt{\frac{30}{\pi}}$

$15\sqrt{\frac{4}{\pi}}$

Correct answer:

$2\sqrt{\frac{30}{\pi}}$

Explanation:

Write the area formula of a circle.

$A=\pi r^2$

Substitute the area.

$30=\pi r^2$

Divide by pi on both sides.

$\frac{30}{\pi}=\frac{\pi r^2}{\pi}$

$r^2 = \frac{30}{\pi}$

Square root both sides.

$\sqrt{r^2} =\sqrt{ \frac{30}{\pi}}$

$r=\sqrt{ \frac{30}{\pi}}$

The radius is: $\sqrt{\frac{30}{\pi}}$

The diameter is double the radius.

The answer is: $2\sqrt{\frac{30}{\pi}}$

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Example Question #6 : Radius And Diameter

What is the diameter of a circle if the area is $14\pi$ ?

Possible Answers:

$\sqrt{14}$

$2\sqrt{7}$

$2\sqrt{14}$

$7\sqrt2$

Correct answer:

$2\sqrt{14}$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the area into the equation.

$14\pi=\pi r^2$

Divide by pi on both sides.

$\frac{14\pi}{\pi}=\frac{\pi r^2}{\pi}$

r^2 = 14

$r=\sqrt{14}$

The diameter is twice the radius.

The answer is: $2\sqrt{14}$

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Example Question #1 : 2 Dimensional Geometry

If the diameter of a circle is 12 feet, what is the radius in yards?

Possible Answers:

Correct answer:

Explanation:

There are three feet in one yard.

Using dimensional analysis, we can determine the given diameter in yards first.

$12 \textup{ ft}(\frac{1 \textup{ yd}}{3 \textup{ ft}}) = 4 \textup{ yds}$

The radius is half the diameter.

The answer is: $2 \textup{ yds}$

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Example Question #11 : Radius And Diameter

Determine the diameter if the radius is $\frac{2}{3}x-4$ .

Possible Answers:

$\textup{The answer is not given.}$

$\frac{4}{3}x-2$

$\frac{4}{3}x-8$

$\frac{1}{3}x-8$

$\frac{1}{3}x-2$

Correct answer:

$\frac{4}{3}x-8$

Explanation:

The diameter is double the radius.

$2(\frac{2}{3}x-4) = \frac{4}{3}x-8$

The answer is: $\frac{4}{3}x-8$

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Example Question #11 : Geometry And Graphs

Determine the diameter of a circle if the radius is $2\frac{1}{3}$ .

Possible Answers:

$\frac{7}{2}$

$\frac{14}{3}$

$\frac{25}{3}$

$\frac{13}{3}$

$4\frac{1}{6}$

Correct answer:

$\frac{14}{3}$

Explanation:

The diameter is twice the radius.

D= 2r

Convert the mixed fraction to an improper fraction.

$D= 2(\frac{7}{3}) = \frac{14}{3}$

The answer is: $\frac{14}{3}$

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Example Question #12 : Radius And Diameter

Determine the diameter if the radius is $\frac{1}{8}$ .

Possible Answers:

$\frac{1}{16}$

$\frac{1}{4}$

$\frac{1}{64}$

$\frac{1}{32}$

$\frac{17}{8}$

Correct answer:

$\frac{1}{4}$

Explanation:

The diameter is twice the radius.

Multiply the radius by two.

$\frac{1}{8} (2) = \frac{2}{8} = \frac{1}{4}$

The answer is: $\frac{1}{4}$

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Example Question #13 : Geometry And Graphs

What is the radius if the diameter of a circle is $\frac{\sqrt3}{3}$ ?

Possible Answers:

$\frac{\sqrt{3}}{6}$

$\frac{2\sqrt3}{3}$

$\frac{\sqrt6}{3}$

$\frac{\sqrt6}{6}$

$\frac{3\sqrt{3}}{2}$

Correct answer:

$\frac{\sqrt{3}}{6}$

Explanation:

The radius is half the diameter of a circle.

$r=\frac{d}{2}$

This is also similar to multiply diameter by one-half.

$\frac{\sqrt3}{3} \times \frac{1}{2} = \frac{\sqrt{3}}{6}$

The answer is: $\frac{\sqrt{3}}{6}$

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Example Question #13 : Radius And Diameter

What is the radius with a diameter of $\frac{\sqrt3}{2}$ ?

Possible Answers:

$\sqrt6$

$\frac{\sqrt3}{4}$

$\frac{\sqrt3}{6}$

$\frac{\sqrt6}{4}$

$\sqrt3$

Correct answer:

$\frac{\sqrt3}{4}$

Explanation:

The radius is half the diameter.

Multiply the diameter by one-half.

$\frac{\sqrt3}{2} \cdot \frac{1}{2} = \frac{\sqrt3}{4}$

The answer is: $\frac{\sqrt3}{4}$

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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 #2 : 2 Dimensional Geometry

Example Question #3 : 2 Dimensional Geometry

Example Question #2 : Geometry And Graphs

Example Question #6 : Radius And Diameter

Example Question #1 : 2 Dimensional Geometry

Example Question #11 : Radius And Diameter

Example Question #11 : Geometry And Graphs

Example Question #12 : Radius And Diameter

Example Question #13 : Geometry And Graphs

Example Question #13 : Radius And Diameter

All GED Math Resources

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