Question

For a circle with a diameter of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a length of 5 2 π meters? A) 50° B) 75° C) 90° Eliminate D) 150°

Answer 1

Arc length is given by:
C=θ/360πd
thus plugging in the values we get:
5/2π=θ/360π*6
dividing through by 6π we get:
5/12=θ/360
multiplying both sides by 360
θ=150°