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

The circumference of the circle E is:

C = 2 r π

C = 2 * 40 π = 80 π cm.

Also 324° / 360° = 0.9

m Arc (ABC) = 0.9 * 80 π = 72 π cm

There is also formula for calculating the measure of an arc:

m Arc = r π α / 180°

m Arc = 40 π * 324 / 180 = 40π * 1.8 = 72 π

Now we have to find the exact length (π ≈ 3.14)

m Arc (ABC) = 72 * 3.14 = 226.08 cm