Question

A circle has a radius of 10. an arc in this circle has a central angle of 72 degrees. what is the length of the arc?

Answer 1

Thus the length of the arc is 12.56 cm

Explanation:

We are given that:

• Radius of circle = 10 cm
• Angle of circle = 72 degree

Solution:

The formula is given:

2 π r = 72 degree / 360

x / 2 π r  = 72 / 360

x = 72 / 360 x 2 π r

x = 0.2 x 2 x 3.14 x 10

x = 12.56 cm

Thus the length of the arc is 12.56 cm

Answer 2

Arc length = 12.57 cm

Explanation:

Given:

Radius r = 10 cm

Central angle θ = 72°

To find: Arc length

Solution:

Converting central angle to radians = 72 * π / 180 = 2π/5

Arc length = rθ = 10 *  2π/5 = 4π = 12.57 cm