Arc Length and Sector Area

What is the area of sector​ GPH?

• 9π yd²

• 32π yd²

• 18π yd²

• 6π yd²

In a​ circle, a 90° sector has area 64π in². What is the radius of the​ circle?

• 16 in

• 32 in

• 64 in

• 128 in

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 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

Match the answers to the following problems.

• Problem 1

• Problem 2

• Problem 3

• Problem 4

Find arc length

• 114π/5 ft

• 2850 ft

• 95π/6 ft

• 150π/19 ft

Find the area of the shaded sector of the circle.

• 
• 
• 
• 

Find the area of the shaded sector of circle O.  The radius is 6 inches and the central angle is 100°.  Express answer to the nearest tenth of a square inch.

• 9.2 sq. in.

• 10.5 sq. in.

• 31.4 sq. in.

• 38.2 sq. in.

Calculate the length of the bold arc.

• 49.7 ft

• 15.8 ft

• 24.9 ft

• 3.14 ft