Seudónimo Seudónimo
  • 09-07-2014
  • Mathematics
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Find the area of the figure to the nearest tenth
A. 8.2 in.2
B. 74.2 in.2
C. 148.4 in.2
D. 23.6 in.2

Find the area of the figure to the nearest tenth A 82 in2 B 742 in2 C 1484 in2 D 236 in2 class=

Respuesta :

AL2006
AL2006 AL2006
  • 09-07-2014
That's a part of a circle that has a radius of 9 inches.

Area of any circle = (pi) x (radius)²

Area of the full circle that this is a piece of = (pi) x (9)² = (81 pi)  square inches.

That's the whole circle.  How much of the whole circle is in the picture ?

A whole circle has 360 degrees in the middle. This piece has 105 degrees in the middle.
This piece is ( 105/360 ) of the whole circle.

So the area of the piece is (105/360) x (81 pi) = 74.22 square inches (rounded)
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