find the length of an arc of a circle whose central angle is 212 degrees and radius is 5.3 inches
To find the length of an arc of a circle with a central angle, you need to use the formula:
length of arc = (central angle / 360) x 2πr
where r is the radius of the circle and π is approximately 3.14.
In this problem, the central angle is 212 degrees and the radius is 5.3 inches. So, we can substitute these values into the formula:
length of arc = (212 / 360) x 2π(5.3)
length of arc = (0.5889) x (2 x 3.14 x 5.3)
length of arc = 0.5889 x 33.364
length of arc = 19.63 inches
Therefore, the length of the arc is approximately 19.63 inches.