An arc on a circle measures 250°. Within which range is the radian measure of the central angle? 0 to StartFraction pi Over 2 EndFraction radians StartFraction pi Over 2 EndFraction to π radians π to StartFraction 3 pi Over 2 EndFraction radians StartFraction 3 pi Over 2 EndFraction to 2π radians

The central angle is within the range π to 3π/2

The measure of the arc is given as:

Start by converting the measure of the arc from degrees to radian using:

Substitute 250 for A in the above equation

Multiply 250 and pi

Divide 250 by 180

is between and

Hence, the central angle is within the range π to 3π/2

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The central angle is within the range π to 3π/2

Step-by-step explanation:

To convert from degrees to radians, we multiply the angle in degrees by 180/π.

To convert from radians to degree, we multiply the angle in radians by 180°/π.

π/2 = π/2 X 180°/π= 90°

π rad = π X 180°/π= 180°

3π/2 = 3π/2 X 180°/π= 270°

2π = 2π X 180°/π= 360°

Therefore the angle 250 which is between 180 and 270 is within the range :

π to 3π/2

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step-by-step explanation: