Question

The area of a circle is 78.5 square centimeters, and a subtending arc on the circle has an arc length of 6pi. The estimated value of pi is 3.14.
The measure of the angle subtended by the arc is
°.

Answer 1

@adilalvi @AloneS. sorry i keep tagging you i just truely understand this stuff

Answer 2

A = pi r^2
78.5 = pi r^2
r = sqrt(78.5/pi)
arc length in radians
6 pi cm / (sqrt(78.5/pi) cm/rad) = 3.77 rad
or
3.77 rad / (pi rad / 180°) = 120°

i assumed that you meant 6 pi cm for arc
and the central angle is equal to subtended arc measure

Answer 3

i did thank you you explain it to where i understand

Answer 4

Yep!