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.
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 \(37/11 \times 3.1416\approx 10.57\)