An arc of a circle measures 72°. If the radius of the circle is 6cm,about how long is the arc?

"Given:

Arc of circle = Central Angle = 72°

Radius = 6 cm

Find the measure of the length of the arc:

Arc length = 2πr(Central angle/360°)

Arc length = 2π(6 cm) (72°/360°)

Arc length = 2π(6 cm) (1/5)

Arc length = 12π/5  cm  (in terms of pi)

Arc length = 12(3.14)cm/5       where π = 3.14

= 7.536  or  7.5 cm (significant digits)

ANSWER: The arc length is 7.5 cm."