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 °. nextreset

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

Step-by-step 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°.

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step-by-step explanation: