Radians and Degrees and Arc Length

Find the arc length.  Leave your answer in terms of π.

• 7/4π

• 7/2π

• 1/8π

• 45π

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

Find the arc length.

• 3π/4 ft

• 39π/4 ft

• 13π/4 ft

• 4π/13 ft

If a sector has a central angle of 45 degrees and the radius of the circle is 8 cm, what is the arc length of the sector?

If the arc length of a sector is 5 cm and the radius of the circle is 10 cm, what is the measure of the central angle in degrees?

• 28.65 degrees

• 30 degrees

• 57.3 degrees

• 114.6 degrees

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

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

Convert a central angle of 90 degrees to radians.

A sector of a circle has a central angle of 60 degrees and a radius of 4 cm. What is the arc length of the sector?