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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
 #1
avatar+95 
-2

I THE ANSWER IS -37

SISTERCOUSIN6969  Mar 24, 2017
 #2
avatar+7002 
+1

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

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