Answer:
The measure of the angle subtended by the arc is 216°.
Explanation:
Given : The area of a circle is 78.5 square centimeters, and a subtending arc on the circle has an arc length of
. The estimated value of
is 3.14.
To find : The measure of the angle subtended by the arc ?
Solution :
The area of a circle is 78.5 square centimeters.
We find the radius of the circle.





Now, The measure of the angle subtended by the arc formula in radian is given by,

Where,
is the angle
r is the radius
s is the arc length
Substitute the value in the formula,

Convert radian into degree,
Multiply radian by

So, In degree the angle is


Therefore, The measure of the angle subtended by the arc is 216°.