Calculating Arc Length Using Radians

Find the arc length.

• 3π/4 ft

• 39π/4 ft

• 13π/4 ft

• 4π/13 ft

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 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

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

Solve for the arc length in the circle shown.

Mathematical Equivalence

ON

Solve for the arc length in the circle shown.

Mathematical Equivalence

ON

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

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