A playground is in the form of A rectangle having semicircles on the shorter sides. Find it's area if the rectangular portion is 90 m and the breadth is 56 m
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Sorry as I couldn't attach a picture for reference.
We know that the whole area would be :
Area of rectangle + Area of 2 semi-circles
First, let's find the area of the rectangle
RECTANGLE:
Area = Length × Breadth
= 90 × 56
= 5040m²
Then, let's find the area of two semi-circles
Two semi-circles = 1 circle
CIRCLE:
Area = πr²
Here, r = 56 ÷ 2 (∵Semi-circle lies on the shorter side : 56m)
⇒ r = 28m
∴ Area = πr²
= 22/7 × 28 × 28
= 22 × 4 × 28
= 2464m²
Hence,
Total area = 5040 + 2464
= 7504m²
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