11.5 - Sectors and Arc Lengths Area of a Sector

A = 

Examples 20

Find the area of the  sector created between  two consecutive spokes  of this bicycle wheel.

in e ch s

Find the area of the shaded sector.

250o

m

 c

14

If the area of a sector with a radius of 9 feet is 31.5π ft2, find the measure of the central angle.

Arc Length

Length = 

Examples Find the length of the crust of one piece of your  Grandma's homemade cherry pie if the pie tin  has a diameter of 12 cm and she cuts it into 6 slices.

A 15

 in

Find the length of arc AB if o arc ACB has a measure of 220

C B

The area of a sector is 14.966 m Find the arc length of the sector.

2

and the radius is 3.5 m.

What in the world is a radian?

How is a radian measure and arc length related?

How is a radian measure and area of a sector related?

Example: Find the arc length and area of a sector with a radius of 6 inches and a central angle of π/6.

Example: Find the radius of a circle with a sector arc length of 6π, and a central angle of 2π/3.

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