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Find the area of the shaded sector with a radius of 14 and a central angle of 50 degrees. Leave you answer in terms of pi.

 Jul 13, 2015

Best Answer 

 #1
avatar+23254 
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The area of a circle can be found using:  A  =  π · r2

When r = 14   --->   A  =  π · 142   --->    A  =  196π

If the sector contains 50°, then you want (50/360) of the circle:     A  =  (50/360) · 196π  =  245π/9

 Jul 13, 2015
 #1
avatar+23254 
+5
Best Answer

The area of a circle can be found using:  A  =  π · r2

When r = 14   --->   A  =  π · 142   --->    A  =  196π

If the sector contains 50°, then you want (50/360) of the circle:     A  =  (50/360) · 196π  =  245π/9

geno3141 Jul 13, 2015

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