Plz help step by step

Question

Find the length of an arc in a circle of radius 6 meters subtended by the central angle of 50°. (Round your answer to two decimal places.)

Answer 1

circumference of a circle is pi(d) = 2pi(r)= 2pi x radius

arc of a circle = [angle/360][2pi(r)]

for 50 degrees and radius 6 m, the arc length = (50/360)(2pi()(6)

= (5/3)pi meters

= about (5/3)(3.14159) = about 5.26 meters

the circumference is 12pi

50/360 x 12pi = 5pi/3 meters