Find the central angle 𝜃.

Question

Subarc : 10

radius: 5

Answer 1

10 =5A where A = the angle in radians

arc length = radius times radians

10=5A, divide by 5

2 = A

A =2 radians

one radian = 180/pi = about 57.3 degrees

A=2(180)/pi = 360/pi radians = about 114.6 degrees = 2 radians

A=2 radians is the exact measurement of the angle

Answer 2

Answer 3

central angle = subarc

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360 circumference

subarc = 10

circumference = 2 * PI * radius = 10 * PI