Answer:
15 m
Step-by-step explanation:
The area of the circle is
A =pi r^2
A = pi 4^2 = 16 pi
The area of the sector is 30
The fraction is
30/16 pi
Take this time 2pi which are the radians of a circle
30 /16 pi * 2 pi = 15/4
This is the number of radians the angle is
The arc length is s = r * theta where theta is in radians
s = r theta
= 4 * 15/4
= 15