Circle E has a radius of 40 centimeters with m arc ABC = 324°. Find the exact length of arc ABC.

Solution:

Given, 

Angle of arc, θ = 324°

Radius of circle, r = 40 cm.

The formula to find the Length of the arc = (2𝜋r) (θ / 360°)

Substituting the values 

Length of the arc = (2𝜋) (40) (324° / 360°)

By further calculation

= (80𝜋) (0.9)

So we get

= (80) (3.14) (0.9)

= 226.08 cm.

Therefore, the length of the arc is 226.08 cm.

Circle E has a radius of 40 centimeters with m arc ABC = 324°. Find the exact length of arc ABC.

Summary:

Circle E has a radius of 40 centimeters with m arc ABC = 324°. The exact length of arc ABC is 226.08 cm.