Arc Length Radian and Sector Area

Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the length of arc AB?

• 13π/8 cm

• 52π/9 cm

• π/9 cm

• 9π/52

Given that m∠AOB = 13π/18 and the radius is 8 cm, what is the sector area?

• 208π/9 cm²

• 416π/9 cm²

• 52π/9 cm²

• 26π/9 cm²

What is the approximate length of the arc subtended by an angle of 5π/6 radians on a circle with radius of 5.00 meters?

• 50.27 meters

• 13.09 meters

• 15.71 meters

• 12.52 meters

Find the length of the arc shown in red.

• 8π ft

• 4π ft

• 2π ft

• 16π ft

The diagram shows a sector of a circle of radius 4 units, formed from an angle of size 135°.

Find the length of the arc rounded to two decimal places.

Mathematical Equivalence

ON

A central angle measures 4 radians and has an arc length of 28 inches. What is the diameter of the circle?

• 14 inches

• 7 inches

• 49 inches

• 6 inches

The length of an arc is 12 cm and the radius of the circle is 6 cm. What is the radian measure of the central angle?

• 2 radian

• 6 radian

• 4 radian

• 1 radian

Find the area of a sector with an arc length of 30 cm and a radius of 8 cm.

• 240 cm²

• 80 cm²

• 120 cm²

• 180 cm²

The diameter of a circle is 10 centimeters. A central angle of the circle intercepts an arc of 20 centimeters. What is the radian measure of the angle?

• 2

• 4

• 1

• 5

What is the length of the arc shown in​ red?

• 18π cm

• 2π cm

• 4π cm

• 3π cm