An arc on a circle measures 125°. the measure of the central angle, in radians, is within which range?

Option B

ANSWER:  

The measure of the central angle lies in the range of   to

SOLUTION:

Given, an arc on a circle measures

As the angle is less than ,we can consider the arc as minor arc.

So the angle at the center is still .But it is in degrees.

Now, we need to convert it into radians.

To convert one degree into radians, we know the formula

Angle in radians  = angle in degrees

Angle in radians =

As we can observe, lies in the range of to radians

Hence the measure of the central angle lies in the range of   to

step-by-step explanation:

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