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GED Math : 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 #36 : Circumference

Let $\pi = 3.14$ .

Find the circumference of a circle with a diameter of 8in.

Possible Answers:

$12.56\text{in}$

$25.12\text{in}$

$200.96\text{in}$

$50.24\text{in}$

$6.28\text{in}$

Correct answer:

$25.12\text{in}$

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 8in. So, we substitute. We get

$C = 3.14 \cdot 8\text{in}$

$C = 25.12\text{in}$

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Example Question #37 : Circumference

Determine the circumference of the circle with a radius of 6x-3 .

Possible Answers:

$36x\pi x^2 -36x \pi -9 \pi$

$12\pi x-3$

$36\pi x^2-9\pi$

$12\pi x-3\pi$

$12\pi x-6\pi$

Correct answer:

$12\pi x-6\pi$

Explanation:

Write the formula for the circumference of the circle.

$C=2\pi r$

Substitute the radius.

$C=2\pi (6x-3) = 12\pi x-6\pi$

The answer is: $12\pi x-6\pi$

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Example Question #72 : Geometry And Graphs

Let $\pi = 3.14$

Find the circumference of a circle with a diameter of 20in.

Possible Answers:

$314\text{in}^2$

$31.4\text{in}^2$

$62.8\text{in}^2$

$47.1\text{in}^2$

$125.6\text{in}^2$

Correct answer:

$62.8\text{in}^2$

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 20in. So, we can substitute. We get

$C = 3.14 \cdot 20\text{in}$

$C = 62.8\text{in}$

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Example Question #72 : Circles

Find the circumference of a circle with a radius of $3\pi +2$ .

Possible Answers:

$10\pi ^2$

$10\pi$

$7\pi$

$6\pi + 4$

$6\pi^2 + 4\pi$

Correct answer:

$6\pi^2 + 4\pi$

Explanation:

Write the formula for the circumference of the circle.

$C=2\pi r$

Substitute the radius.

$C=2\pi (3\pi +2) =6\pi^2 + 4\pi$

The answer is: $6\pi^2 + 4\pi$

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Example Question #40 : Circumference

Find the circumference of a circle with a diameter of $6\pi^5$ .

Possible Answers:

$6\pi ^5$

$12\pi ^5$

$12\pi ^6$

$6\pi ^6$

$6\pi ^3$

Correct answer:

$6\pi ^6$

Explanation:

Write the formula for the circumference of the circle.

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

Substitute the diameter.

$C= \pi (6\pi ^5) = 6\pi ^6$

The answer is: $6\pi ^6$

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Example Question #81 : Geometry And Graphs

Find the circumference of a circle if the radius is $5\pi$ .

Possible Answers:

$10+2\pi$

$10+2\pi ^2$

$10\pi$

$10\pi^2$

$12\pi$

Correct answer:

$10\pi^2$

Explanation:

Write the formula for the circumference of a circle.

$A = 2\pi r$

Substitute the radius.

$A = 2\pi (5\pi) = 10\pi^2$

The answer is: $10\pi^2$

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Example Question #41 : Circumference

Find the circumference of the circle with a diameter of $2\pi -3$ .

Possible Answers:

$2\pi ^2-3\pi$

$4\pi ^2-6\pi$

$4\pi ^2-6$

$2\pi ^2-3$

$4\pi^2-12\pi+9$

Correct answer:

$2\pi ^2-3\pi$

Explanation:

Write the formula for the circumference of the circle.

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

Substitute the diameter.

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

The answer is: $2\pi ^2-3\pi$

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Example Question #82 : Geometry And Graphs

Determine the circumference of the circle with a diameter of $\frac{5}{3}$ .

Possible Answers:

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

$\frac{25}{9} \pi$

$\frac{25}{3} \pi$

$\frac{25}{6} \pi$

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

Correct answer:

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

Explanation:

Write the formula for the circumference of the circle.

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

Substitute the diameter.

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

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

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Example Question #42 : Circumference

You have a giant gong that has a diameter of 1.5 m . Find the circumference of the gong.

Possible Answers:

4.71m

9.42m

2.36 m

2.25m

Correct answer:

4.71m

Explanation:

You have a giant gong that has a diameter of 1.5 m . Find the circumference of the gong.

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

$Circ=2\pi r=d \pi$

So, if we plug in our diameter, we get:

$C=\pi (1.5m)=4.71 m$

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Example Question #85 : Geometry And Graphs

While doing your homework, you become distracted by the 3 holes on the margin of your paper. You estimate that the holes have a diameter of 2.5 cm. What is the circumference of the circles?

Possible Answers:

19.63 cm

4.91 cm

7.85cm

5cm

Correct answer:

7.85cm

Explanation:

While doing your homework, you become distracted by the 3 holes on the margin of your paper. You estimate that the holes have a diameter of 2.5 cm. What is the circumference of the circles?

To find circumference, use the following formula:

$C=2 \pi r$

Now, we could find the radius and then plug it in, but if you are astute, you will see that the above formula is the same thing as:

$C= \pi d$

Where d is the diameter.

So, we can plug in our diameter to find our answer:

$C= \pi (2.5cm)\approx 7.85cm$

So we can say our answer is 7.85 cm

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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 #36 : Circumference

Example Question #37 : Circumference

Example Question #72 : Geometry And Graphs

Example Question #72 : Circles

Example Question #40 : Circumference

Example Question #81 : Geometry And Graphs

Example Question #41 : Circumference

Example Question #82 : Geometry And Graphs

Example Question #42 : Circumference

Example Question #85 : Geometry And Graphs

All GED Math Resources

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