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Find the area of shaded region …

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Find the area of shaded region with centre a,b,c,d and intersect in pairs and the mid points of p,q,s on the side of AB,BC,CD,DA respectively of the square ABCD OF 12CM

Posted by Pratham Dahiya 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 5 months ago

According to the question, side of the square = 12 cm
Radius of each arc drawn = 6 cm
We know that, Area of quadrant = {tex}\frac{1}{4} \pi r^2{/tex}
Area of one quadrant = {tex}\frac{1}{4} \pi 6^2 = 28.26{/tex}
Area of four quadrants = 4 {tex}\times{/tex} 28.26 = 113.04 cm²
Area of square ABCD = 12 {tex}\times{/tex} 12 = 144 cm²
Hence Area of shaded region {tex}= 144 - 113.04 = 30.96{/tex}cm²

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