The circumference of a circle is 60π cm. What is the length of an arc of 140°?

Solution:

Given, circumference of a circle is 60𝜋 cm

Angle of arc, θ = 140°

Length of the arc = (circumference of circle)(θ / 360°)

Length of the arc = (2𝜋r) (θ / 360°)

Length of the arc = (60𝜋)(140° / 360°)

= (60𝜋)(0.389)

= (60)(3.14)(0.389)

= 73.267 cm.

Therefore, the length of the arc is 73.267 cm.

The circumference of a circle is 60π cm. What is the length of an arc of 140°?

Summary:

The circumference of a circle is 60π cm. The length of an arc of 140° is 73.267 cm.