A circle has a radius of 6 in. What is the exact length of an arc formed by a central angle measuring 45°? Express your answer using π .
Mathematics · High School · Thu Feb 04 2021
llm
Answered on
Given :
Radius = 6 in.
Central angle = 45°
Circumference of circle = 2πr
= 2π(6 in.)
= 12π in.
Circumference of a circle is when the central angle is 360° . Now, we have to calculate the length of an arc when the central angle is 45°.
Length of arc = 45°/360° × 12π in.
= 1.5 π in.