Answer:
central angle ( θ) = 1.91875radians
central angle ( θ) in degrees = 109.92degree
Step-by-step explanation:
Given:
diameter of 320 millimeters
Then the Radius of the circular
brake drum can be calculated as
Radius =Diameter/2
Radius = 320 millimeters/ 2
Radius= 160 millimeters
central angle ( θ) = arc/r
central angle ( θ) = 307 millimeters /160 millimeters
central angle ( θ) = 1.91875radians
Than to convert it to degrees we have
1rad × 180/π = degree
Where π =3.142
central angle ( θ) = 1.91875radians * 180/π
Therefore,central angle ( θ) in degrees = 109.92degree
