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ABCD is a square of side length 15cm. APC and AQC are arcs of the circles with centres D and B. Calculate the area of the unshaded part?

ABCD is a square of side length 15cm APC and AQC are arcs of the circles with centres D and B Calculate the area of the unshaded part class=

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caylus
Hello,

the area of the unshaded part is composed of 2 equal parts

Area of the square(side a) : a²
Area of the 1/4 cercle: πa²/2

the area of the unshaded part: 2*(a²-πa²/4)=a²/2 * (4-π) with a=15
Area=96,5708... (cm²)