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powerpoint presentation on circle measure
1.
2.
PROBLEM In the two
pictures the squares are of the same size. Prove that the green regions are of the same area
3.
SOLUTION Consider the first
picture One side of the square = 2r Area of the square = 4r²
4.
Radius of one
circular region = r Area of one circular region = (1/4)πr²
5.
Area of four
circular region = πr² Area of the shaded region = 4r² - πr²
6.
One side of
the square = 2r Area of the square = 4r²
7.
Diameter of the
circle = 2r Radius of the circle = r Area of the circle = πr² Area of the shaded region = 4r² - πr²
8.
Area of the
shaded regions are the same.
9.
THANK YOU
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