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A circle's circumference is
24 pi kilometers. What is its area?
Use 3.14 for
pi

A circle's circumference is $24 \pi$ kilometers. What is its area? $\newline$ Use $3.14$ for $\pi$

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Circles: word problems

Full solution

Q. A circle's circumference is

24 \pi

kilometers. What is its area?

\newline

Use

3.14

for

\pi

Calculate Diameter: Step $1$ : Determine the diameter of the circle using the circumference formula $C = \pi d$ . $\newline$ Given: $C = 24\pi$ km $\newline$ Using the formula for circumference, $C = \pi d$ , we can solve for $d$ by dividing both sides by $\pi$ . $\newline$ Calculation: $d = (24\pi) / \pi = 24$ km
Find Radius and Area: Step $2$ : Calculate the area of the circle using the area formula $A = \pi r^2$ . First, find the radius by dividing the diameter by $2$ . Calculation: $r = \frac{d}{2} = \frac{24}{2} = 12$ km Now, substitute the radius into the area formula. Using $\pi \approx 3.14$ , Calculation: $A = \pi r^2 = 3.14 \times (12)^2 = 3.14 \times 144 = 452.16$ km $^2$

More problems from Circles: word problems

Question

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\newline

R(h)=\sqrt{13h}

gives the distance, in kilometers, that Skyler can see when their eyes are

h

meters above the ground.

\newline

A(d)=\pi d^{2}

gives the area, in square kilometers, that Skyler can guard when they can see a distance of

d

\newline

Which expression models the area Skyler can guard when their eyes are

h

meters above the ground?

\newline

1

\newline

13\pi h

\newline

13\pi h^{2}

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\sqrt{13\pi h^{2}}

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169\pi h^{2}

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. Before the outbreak, the average wait time at the hospital was

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\newline

2

\newline

0.7m

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\newline

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\newline

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Question

\newline

A man has bent a circular wire of radius

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\newline

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\newline

B)50\text{cm}

\newline

C)98\text{cm}

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Question

A quarter is worth

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and a half dollar is worth

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\newline

a. A quarter has a diameter of

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\newline

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Question

The hypotenuse of a right triangle measures

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\newline

\square

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Question

One of the legs of a right triangle measures

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and its hypotenuse measures

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\newline

\square

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One of the legs of a right triangle measures

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and the other leg measures

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. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

\newline

\square

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Question

Find the volume of a right circular cone that has a height of

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and a base with a radius of

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. Round your answer to the nearest tenth of a cubic centimeter.

\newline

\mathrm{cm}^{3}

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Question

Find the volume of a right circular cone that has a height of

13.3 \mathrm{ft}

and a base with a diameter of

9.4 \mathrm{ft}

. Round your answer to the nearest tenth of a cubic foot.

\newline

\mathrm{ft}^{3}

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