Radians and Degrees and Arc Length College Board

The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian measure of the central angle?

• 3 radian

• 2 radian

• 4 radian

• 2π radian

A central angle measure 4.5 radians and has an arc of 35 inches. What is the radius of the circle?

• 7.78 inches

• 8.21 inches

• 157.5 inches

• 7 inches

• 12π cm

• 27π cm

• 12 cm

• 27 cm

A circle has radius 12 inches. A central angle intercepts an arc of length 36 inches. What is the radian measure of the central angle?

• 3 radian

• 2 radian

• 6 radian

• 9 radian

Find the arc length.

• 3π/4 ft

• 39π/4 ft

• 13π/4 ft

• 4π/13 ft

Find the arc length

• 7 cm

• 28π cm

• 7π cm

• 28 cm

Find the arc length

• 12π cm

• 15π cm

• 39.375 cm

• 14π cm

Find arc length

• 114π/5 ft

• 2850 ft

• 95π/6 ft

• 150π/19 ft

Arc Length Formula:

• Radius×Radian

• Radius×Degree

• Radius×Radius

• Radian×Radian

The diameter of a circle is 8 centimeters. A central angle of the circle intercepts an arc of 12 centimeters. What is the radian measure of the angle?

• 3

• 4

• 8π

• 3/2