Arc Length, Radius and Central Angles

Find the arc length. (s = rθ) Round to the nearest whole number. (Hint: θ has to be in radians)

• 11 cm

• 630 cm

• 15 cm

• 14 cm

An arc length of 5 in. is intersected by a central angle in a circle with a radius of 10 in. What is the measure of the angle? (θ = s/r)

• 0.5 radian

• 2 radians

• 1.2 radians

• 1 radian

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

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?

• 3

• 4

• 8π

• 3/2

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

Find the arc length of arc AB.

• 12.57 units
• 75.40 units
• 24 units
• 125.66 units

Find the arc length of arc AB.

• 1.5 units
• 18.85 units
• 4.71 units
• 200 units

What is the length of the intercepted arc of a circle whose radius is 10 inches and a central angle of 6 radians?

• 60 inches

• 60π inches

• 60 π radians

• 60°

What is the radius of a circle with a central angle of π/3 radians intercepting an arc with a length of 12.566 cm? Round to the nearest whole number.

• 38 cm

• 11 cm

• 12 cm

• 4 cm