An angles rays cut off an arc length of 122 centimeters in a

An angle\'s rays cut off an arc length of 122 centimeters in a circle with a 116 centimeter radius. What portion of the circle\'s circumference is cut off by this angle? What is the measure of this angle in radians? What is the measure of this angle in degrees?

Solution

Arc length = 122centimetrs

Radius = 116 cm

a) Portion of circumference cut off by this arc:

arc length/ circumference = 122/(2*pi*116) = 122/728.849 = 0.167

b) theta = arclength/radius = 122/116 = 1,0517 radians

c) In degrees   = (180/pi)*1.0517 = 60.26 degrees