Question

A circle with circumference 10 has an arc with a 162 degree central angle. What is the length of the arc

Answer 1

Answer: The length of the is 4.5 cm when the measure of the central angle is 162 degrees.

If the measure of the central angle is 162 degrees, that means that is comprises 45% of the circle. 162 / 360 = 45%

Therefore, the arc is also 45% of the circumference. If we multiply 10 by 45% we get an arc length of 4.5 cm.