two circular flower beds have been shown on 2 sides of sa
quare lawn of side 56m.If centre of each circular flower beds is point of intersection O of the diagnols of square lawn find sum of areas of lawn and flower beds
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Side of square = 56cm
ΔAOB
AB²=OA²+OB²
56²=r² + r²
56×56=2r²
56×56÷2
⇒r²=56×28
Area of flower bed
⇒ Area of 2 sectors + area of 2 triangles
2×∅÷360 + 2×1/2×b×h
90÷180πr² + r² ( we get 90÷180 by cancellation)
1÷2 × 22÷7 ×56×28 + 56×28
88×28 + 56×28
⇒(88+56)×28
⇒144×28= 4032cm²
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