7-1) The diameter of the circles is 2 centimeters. Calculate the area in purple.
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Step-by-step explanation:
Given : Diameter of each circle = 2 cm ,
So ,
Length of side of square = 2 + 2 = 4 cm
We know area of square = ( Side )2
So,
Area of our square = 4 2 = 16 cm2
And
Area of a circle = π r2
Radius of our circle = 1 cm
So,
Area of a circle = 227 × 12 = 227 cm2
Shaded area ( In purple ) = Area of square - 4 ( Area of a circle )
Shaded area ( In purple ) = 16 - 4 × 227
Shaded area ( In purple ) = 16 - 887
Shaded area ( In purple ) = 16 - 12.57
Shaded area ( In purple ) = 3.43 cm2 ( Ans )
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