If the length of the 45° region of this circle is 10 inches, what is the radius of the circle? Use and round to the nearest tenth.

Question

asked Oct 16, 2022 140k views

1 Answer

Acrube · Answer 1 · 2022-10-22T05:03:32+0000

Answer:

12.71in

step explanation:

The Length of an arc given is expressed as;

A = theta/360 * 2πr

10 = 45/360 * 2 * 3.14r

10 = 1/8 * 6.28r

Cross multiply

10 * 8 = 6.28r

80 = 6.28r

r = 80/6.28

r = 12.74in

Hence the radius is 12.71in