Explanation
Given Data:
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Square ABCD ki side (a) = 14 cm
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Semicircles APD aur BPC ka diameter bhi square ki side ke barabar hai, yaani 14 cm.
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Semicircles ka radius (r) = 214=7 cm
Calculation Steps:
1. Area of Square ABCD:
Area ka formula hota hai side×side.
Area of Square=a2=14×14=196 cm2
2. Area of two Semicircles:
Do semicircles milkar ek poora circle banate hain. Toh hum direct ek circle ka area nikaal sakte hain:
Area of 2 Semicircles=2×(21πr2)=πr2
π ki value 722 lete hue:
Area=722×7×7=22×7=154 cm2
3. Area of Shaded Region:
Ab square ke area mein se semicircles ka area ghata (subtract) dete hain:
Area of Shaded Region=Area of Square−Area of 2 Semicircles
Shaded Area=196−154=42 cm2
