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# In a circle of radius 37, find the length of the arc spanned by a central angle of Round answer to 2 decimal places. Use 3.1416 for pi.

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In a circle of radius 37, find the length of the arc spanned by a central angle of $$\pi/11 radians.$$Round answer to 2 decimal places. Use 3.1416 for pi.

Deathstroke_rule  Mar 24, 2017
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SISTERCOUSIN6969  Mar 24, 2017
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When the central angle is expressed in radians:

S = r * theta

Where S is the arc length, r is the radius of the circle, and theta is the central angle in radians.

Therefore the arc length in this case is:

$$\dfrac{37\pi}{11}$$

Directly multiply.

First edit:

Whoops I did not see that take pi = 3.1416.

Therefore the answer should be $$37/11 \times 3.1416\approx 10.57$$

MaxWong  Mar 24, 2017
edited by MaxWong  Mar 24, 2017