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Circle
O shown below has a radius of 13 inches. To the nearest tenth of an inch, determine the length of the arc,
x, subtended by an angle of 0.9 radians.
Answer:
inches

Circle $O$ shown below has a radius of $13$ inches. To the nearest tenth of an inch, determine the length of the arc, $x$ , subtended by an angle of $0$ . $9$ radians. $\newline$ Answer: $\square$ inches

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Circles: word problems

Full solution

Q. Circle

O

shown below has a radius of

13

inches. To the nearest tenth of an inch, determine the length of the arc,

x

, subtended by an angle of

0

.

9

radians.

\newline

Answer:

\square

inches

Identify Formula: Identify the formula to calculate the length of an arc. $\newline$ The length of an arc $s$ in a circle is given by the formula $s = r\theta$ , where $r$ is the radius of the circle and $\theta$ is the central angle in radians.
Plug Values: Plug the given values into the formula. $\newline$ Here, the radius $r$ is $13$ inches and the angle $\theta$ is $0.9$ radians. $\newline$ So, $s = 13$ inches $* 0.9$ radians.
Perform Multiplication: Perform the multiplication to find the length of the arc. $s = 13$ inches $* 0.9$ radians $= 11.7$ inches.
Round Result: Round the result to the nearest tenth of an inch as requested. $\newline$ The length of the arc, to the nearest tenth, is $11.7$ inches.

More problems from Circles: word problems

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\newline

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1

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13\pi h

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\newline

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\newline

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\newline

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\newline

a. A quarter has a diameter of

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\newline

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Question

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\newline

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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 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

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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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