Question

The radius of a circle is 2 centimeters. What is the length of a 45° arc?

Answer 1

Answer:

1.57 cm

Step-by-step explanation:

the circle has a radius of 2.

Then

The circumference of the circle = 2πr = 2π(2) = 4π

…………………………………

Since , 45/360 = 1/8

Then, the arc is 1/8 of the entire circle.

…………………

Therefore,

the length of a 45° arc = 4π/8 = π/2 cm ≈ 1.57 cm