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°
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°