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

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Answer:

0 to StartFraction pi Over 2

Step-by-step explanation:

The measure of the central angle, in radians, is within the range 0 to StartFraction pi Over 2.

What is the radian measure of the central angle?

The radian measure of a central angle θ of a circle is defined as the ratio of the length of the arc the angle subtends, s, divided by the radius of the circle, r. Note that when s = r, we get θ expressed as one radian.

What ratio represents the measure of the central angle compared to the measure of the entire circle?

The ratio of the measure of the central angle to the measure of the entire circle is 5/2π.

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