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The sector of a circle with a diameter of 8 feet has a central angle measure of 45°. What is the area sector?

 

a.) π/2 ft²

b.) π ft²

c.) 2π ft²

d.) 8π ft²

 Mar 22, 2018
 #1
avatar+100456 
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We  can calculate the  area, A,  as

 

A  =  pi * radius^2   *  ( angle measure / 360 )

 

If the diameter is 8 ft.....the radius is 1/2 of this = 4 feet....so we have

 

A  = pi * (4)^2 ( 45 / 360)

 

A=  pi * 16  ( 1/8)

 

A = pi *2

 

A  ≈   6.28  ft^2

 

 

cool cool cool

 Mar 22, 2018

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