A circle has a radius of 7 cm. Find the radian measure of the central angle 0 that intercepts an arc of length 4 cm.

Question

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Answer 1

For angle in degrees:

arclength = angle/360 * pi * diameter

= angle / 360 * pi * 2 * radius

= angle / 180 * pi * radius

= angle * pi/180 * radius

= (angle in radians) * radius

So then:

4 = (angle in radians) * 7

4/7 = angle in radians