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What is the area of minor sector AOB?

 

 Jul 16, 2020
 #1
avatar+21953 
0

Angle(AOB)  =  360o - 215o =  145o.  

 

The radius of the circle appears to be slightly larger than 3, so the area of the whole circle is

slightly larger than  pi·32  or a little more than 9 pi.

 

Since the central angle is 145o, the area that we want is slightly more than

                  145/360·9pi  =  11.4 square units.

 

The closest answer seems to be 11 square units.

 Jul 17, 2020
 #2
avatar+1326 
+1

" slightly"?!    area of a circle is exactly  10pi

 

r = sqrt( 10 ) = 3.16227766            angle (AOB) = 360º - 215º = 145º

 

A = 145º/360º * pi * r² = 12.65363708

 

A ≈ 12.654 

Dragan  Jul 17, 2020
edited by Dragan  Jul 17, 2020

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