Arc Length in Radians

• 12π cm

• 27π cm

• 12 cm

• 27 cm

Find the arc length.

• 3π/4 ft

• 39π/4 ft

• 13π/4 ft

• 4π/13 ft

What is the approximate length of the arc subtended by an angle of 4π/3 radians on a circle with a radius of 6.00 meters?

• 12.57 meters

• 14.14 meters

• 25.13 meters

• 28.27 meters

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

Find the length of an arc that subtends a central angle of 2 radians in a circle of radius 2 miles.

• 4 miles

• 1 mile

• 4π miles

• 8 miles

What is the formula for arc length (when you are given an angle in radians)?

A circle has a radius of 5 inches. What is the length of an arc that has a central angle of 2π/3 radians?

• 10π/3 inches

• 2π/15 inches

• π/5 inches

• 5π/3 inches

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?

Mathematical Equivalence

ON

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

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