A circle has a circumfrence of 10.it has a arc length of 9/2

Answer 1

circumference = 2 * pi * radius

10 = 2 * pi * radius

5 = pi * radius

5/pi = radius

arc length = x/360 * pi * radius^2 where x is the angle

9/2 = x/360 * pi * (5/pi)^2

9/2 = x/360 * pi * 25/pi^2

9/2 = x/360 * 25/pi

9/2 * 360 = x * 25/pi

1620 = x * 25/pi

1620*pi/25 = x

x = 203.57530295261.......