Arc Length, Radius and Central Angles

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