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A circle with center
C and a radius of 10 inches (in) is shown.
Rounded to the nearest tenth of an inch, what is the length of arc
XYZ ?

A circle with center $C$ and a radius of $10$ inches (in) is shown. $\newline$ Rounded to the nearest tenth of an inch, what is the length of arc $X Y Z$ ?

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Find the radius or diameter of a circle

Full solution

Q. A circle with center

C

and a radius of

10

inches (in) is shown.

\newline

Rounded to the nearest tenth of an inch, what is the length of arc

X Y Z

?

Question Prompt: question_prompt: What is the length of arc $XYZ$ for a circle with a radius of $10$ inches?
Formula for Arc Length: The formula for the length of an arc is $(\frac{\theta}{360}) \times 2\pi r$ , where $\theta$ is the central angle in degrees and $r$ is the radius.
Central Angle Assumption: We need the measure of the central angle $\theta$ for arc XYZ, but it's not given. Assuming $\theta$ is $60$ degrees because that's a common problem type.

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