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GED Math : Geometry and Graphs

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 #141 : 2 Dimensional Geometry

Determine the area of a circle with a radius of .

Possible Answers:

$40\pi$

$1600\pi$

$40\pi$

$140\pi$

$400 \pi$

Correct answer:

$400 \pi$

Explanation:

Write the formula for the area of a circle.

$A =\pi r^2$

Substitute the radius.

$A =\pi (20)^2$

The answer is: $400 \pi$

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Example Question #1102 : Ged Math

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

Possible Answers:

$28\pi \text{ in}^2$

$14\pi \text{ in}^2$

$21\pi \text{ in}^2$

$3.5\pi \text{ in}^2$

$49\pi \text{ in}^2$

Correct answer:

$49\pi \text{ in}^2$

Explanation:

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

$A = \pi r^2$

where r is the radius of the circle.

Now, we know the radius of the circle is 7in. So, we can substitute. We get

$A = \pi \cdot (7\text{in})^2$

$A = \pi \cdot 49\text{in}^2$

$A = 49\pi \text{ in}^2$

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Example Question #47 : Area Of A Circle

Let $\pi = 3.14$

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

Possible Answers:

$100.48\text{in}^2$

$25.12\text{in}^2$

$200.96\text{in}^2$

$50.24\text{in}^2$

$153.86\text{in}^2$

Correct answer:

$50.24\text{in}^2$

Explanation:

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

$A = \pi \cdot r^2$

where r is the radius of the circle.

Now, we know $\pi = 3.14$ . We know the diameter of the circle is 8in. We know the diameter is two times the radius. Therefore, the radius is 4in. So, we substitute. We get

$A = 3.14 \cdot(4\text{in})^2$

$A = 3.14 \cdot 16\text{in}^2$

$A = 50.24\text{in}^2$

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Example Question #48 : Area Of A Circle

Determine the area of a circle with a radius of $9\sqrt{2}$ .

Possible Answers:

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

162

$162\pi$

$81\pi$

Correct answer:

$162\pi$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius.

$A=\pi (9\sqrt{2})^2=\pi (9\sqrt{2})(9\sqrt{2}) = 81\cdot 2 \pi$

The answer is: $162\pi$

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Example Question #141 : Circles

Find the area of a circle with a diameter of $\sqrt{5}$ .

Possible Answers:

$\pi\sqrt{10}$

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

$\pi\sqrt5$

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

$\frac{5}{8}\pi$

Correct answer:

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

Explanation:

Write the formula for the area of the circle.

$A=\pi r^2$

The radius is half the diameter.

$r= \frac{d}{2} = \frac{\sqrt5}{2}$

Substitute the radius.

$A=\pi (\frac{\sqrt5}{2})^2 = \pi (\frac{\sqrt5}{2})(\frac{\sqrt5}{2})$

The answer is: $\frac{5}{4}\pi$

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Example Question #42 : Area Of A Circle

Find the area of a circle with a diameter of 16.

Possible Answers:

$64\pi$

$96\pi$

$32\pi$

$128\pi$

$16\pi$

Correct answer:

$64\pi$

Explanation:

Write the formula for the area of a circle.

$A = \pi r^2$

The radius of the circle is half the diameter, or 8.

Substitute the radius into the equation.

$A = \pi (8)^2 = 64\pi$

The answer is: $64\pi$

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Example Question #143 : 2 Dimensional Geometry

What is the area of a circle with the radius of $\sqrt{8}$ ?

Possible Answers:

$10\pi$

$2\pi\sqrt2$

$16\pi$

$8\pi$

$4\pi$

Correct answer:

$8\pi$

Explanation:

Write the formula for the area of a circle.

$A=\pi r^2$

Substitute the radius into the equation.

$A=\pi (\sqrt{8})^2 = 8\pi$

The answer is: $8\pi$

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Example Question #144 : 2 Dimensional Geometry

Find the area of a circle with a radius of $\frac{2}{9}$ .

Possible Answers:

$\frac{2}{9}\pi$

$\frac{1}{6}\pi$

$\frac{2}{81}\pi$

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

$\frac{4}{81}\pi$

Correct answer:

$\frac{4}{81}\pi$

Explanation:

Write the formula for the area of a circle.

$A= \pi r^2$

Substitute the radius.

$A= \pi (\frac{2}{9})^2 = \frac{4}{81}\pi$

The answer is: $\frac{4}{81}\pi$

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Example Question #143 : Circles

Find the area of a circle with a diameter of $6\pi ^3$ .

Possible Answers:

$9\pi ^7$

$18\pi ^6$

$9\pi^6$

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

$18\pi ^7$

Correct answer:

$9\pi ^7$

Explanation:

Divide the diameter by two to obtain the radius.

$r= \frac{6\pi ^3}{2} = 3\pi ^3$

Substitute the radius into the formula of the area of the circle.

$A= \pi r^2 = \pi (3\pi ^3) ^2= \pi (3\pi ^3)(3\pi ^3) = 9\pi ^7$

The answer is: $9\pi ^7$

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Example Question #143 : Circles

Find the area of a circle with a radius of $2\pi^6$ .

Possible Answers:

$2\pi ^{7}$

$4\pi ^{13}$

$2\pi ^{37}$

$2\pi ^{13}$

$4\pi ^{37}$

Correct answer:

$4\pi ^{13}$

Explanation:

Write the formula for the area of a circle.

$A =\pi r^2$

Substitute the radius.

$A =\pi (2\pi ^6)^2=\pi (2\pi ^6)(2\pi ^6)$

The answer is: $4\pi ^{13}$

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GED Math : Geometry and Graphs

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #141 : 2 Dimensional Geometry

Example Question #1102 : Ged Math

Example Question #47 : Area Of A Circle

Example Question #48 : Area Of A Circle

Example Question #141 : Circles

Example Question #42 : Area Of A Circle

Example Question #143 : 2 Dimensional Geometry

Example Question #144 : 2 Dimensional Geometry

Example Question #143 : Circles

Example Question #143 : Circles

All GED Math Resources

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