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A circle has a radius of 63 cm.


What is the arc length intercepted by a central angle that measures 2π/9 radians?


Express the answer in terms of π .

Verified Answer :

arc length = radius central angle (in radians)
arc length = 63
2PI/9 radians
arc length = 14 PI

Answer:

\(14\pi\ cm\)

Step-by-step explanation:

we know that

The formula to calculate the arc length of the circle is equal to

\(arc\ length=r \theta\)

where

\(r\) is the radius

\(\theta\) is the central angle in radians

In this problem we have

\(r=63\ cm\)

\(\theta=\frac{2\pi}{9}\)

substitute the values

\(arc\ length=63(\frac{2\pi}{9})\)

\(arc\ length=14\pi\ cm\)