Radians and Arc Length

Find the arc length of the bolded arc. Give your answer in terms of π.

• (65/12)π cm

• 17.02 cm

• (845/24)π cm

• 26π cm

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

Find the arc length.

• 3π/4 ft

• 39π/4 ft

• 13π/4 ft

• 4π/13 ft

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

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

• 1.5

• 3

• 4

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 central angle?

• 1.5

• 3

• 4

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

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 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