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

#2**+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