a circle has a circumference of 20. It has an arc of length 9/2. What is the central angle of the arc in degrees?
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
Formula :
Length of arc = θ/360 × 2πr
Length of arc = 9/2
Circumference of circle, 2πr = 20
9/2 = θ/360 × 20
θ = 9 × 360/2×20
= 81°
Hence, central angle of arc is 81°.