A circular arc of length 8 ft subtends a central angle of 20°, how do you find the radius of the circle? Trigonometry Graphing Trigonometric Functions Applications of Radian Measure 1 Answer George C. Jul 11, 2015 If #r# is the radius, then #pi r# is the length of a semicircular arc subtending #180^o = 9 * 20^o# So #pi r = 9 * 8 "ft" = 72 "ft"# Divide both sides by #pi# to get: #r = 72/pi "ft"# Explanation: #180^o = pi# radians Answer link Related questions What are some applications of using radian measure? How do you calculate the length of an arc and the area of a sector? How do you approximate the length of a chord given the central angle and radius? What are some example problems involving angular speed? How do you find the length of the chord of a circle with radius 8 cm and a central angle of #110^@#? How does #sinx=0# equals π? How do you write the function in terms of the cofunction of a complementary angle #tan(pi/5)#? What is the value of #sin(pi/4)#? What is the value of #tan(pi/3)#? What is the value of #cos(7pi/4)#? See all questions in Applications of Radian Measure Impact of this question 3549 views around the world You can reuse this answer Creative Commons License