9.1 Area of a Sector

Unit 9: Area and Volume

9.1 Area of a Circle Sector

Objective

• Identify the formula of for finding the area of a sector

• Solve for the area of a sector

Area of a Circle & Semicircle

Area of a Quarter-Circle

If I want to find the area of an part of a circle, how would I do it?

Area of a Sector

Example 1:

Example 2

Multiple Choice

Find the area of a sector with a radius of 9ft and an angle measure of  $$132\degree$$  

• $$10.27ft^2$$  

• $$93.31ft^2$$  

• $$29.7ft^2$$  

• $$85ft^2$$  

Fill in the Blank

Find the area of the sector shown. Round to the nearest hundredth

Multiple Choice

What is the area of the shaded sector?

• $$6.56yd^2$$

• $$7.49yd^2$$

• $$8.72yd^2$$

Fill in the Blank

Find the central angle of the sector of the circle with a radius of 12 ft and a sector area of 72  $$ft^2$$  

Multiple Choice

What is the formula for finding the area of a sector. 

• $$\left(\frac{n}{360}\right)\pi r^2$$

• $$2\pi r$$

• $$\pi r^2$$