What is the length of an arc of 40° in a circle with an 8 inch radius?

1 Answer
Oct 17, 2015

Length = #5.587# inches

Explanation:

Length of an Arc:

Length# = (diameter).pi.(angle)/360#
diameter = # radius . 2 #
diameter = 16 inches

Given #angle # = #40 degrees#

Length = #16.3.142. 40/360#
Length = #5.587# inches

Can also be calculated using #s = r.theta#

where r is measured in radians.

1 Degree = #pi / 180# radians
40 Degrees = #pi / 180 . 40# radians