Question

An arc on a circle measures 295°. The measure of the central angle, in radians, is within which range?

0 to pi/2 radians
pi/2 to π radians
π to 3pi/2 radians
3pi/2 to 2π radians

Answer 1

Answer:

3pi/2 to 2π radians

Step-by-step explanation:

The centeal angle also has 295⁰. This value is between 275⁰ (or 3×pi/2) and 360⁰ (or 2×pi).

So, the answer is: 3pi/2 to 2π radians

Answer 2

The measure of the central angle of the circle is between 3π/2 and 2π radians

How to determine the range of the central angle?

The measure of the arc is given as:

Arc = 295 degrees

The angle 295 degrees is in the 4th quadrant, and it is between 270 degrees and 360 degrees

We have:

270 degrees = 3π/2

360 degrees = 2π radians

Hence, the measure of the central angle is between 3π/2 and 2π radians

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