Question

Find the length of arc AB.

Answer 1

Problem 1: 12.56

Problem 2: 20.94

Explanation:

Problem One (left)

Givens

r = 16

Theta = 45 degrees

pi = 3.14

Formula

Length = theta/360 * pi * 2*r

Substitute ans Solution

Length = 45/360 * pi *2*16 Substitute

Length = 0.125 * 3.14 * 32 Combine 45 / 360 = 0.125

Length = 12.56 <<<< Answer

Problem Two

Theta = 120

pi = 3.14

r = 10

Substitute and Solution

Length = 120/360 * pi * 2*r

Length = 1/3 * 3.14 * 2 * 10

Length = 1/3 * 3.14 *20

Length = 20.94