Answer:
Radius of the circle is 9.178
Step-by-step explanation:
Given that,
Central angle ,a = 156°
Arc length,s =25 km
The formula to calculate the radius of a circle is;
Arc length= Θ / 360° x (2πr)
We are given that the Θ =20° and that arc length is 66 in. Substituting, we have;
L = Θ / 360° x (2πr)
25 = (156 / 360°) x 2 x 22/7 x r
25 = 6864r / 2520
r= (2520 x 25) / 6864
r= 63000 / 6864
r = 9.178
