There are two circular portions on two sides of a square lawn of side 58 m. The centre of each circular portion is the point of intersection of the diagonals of the square lawn. Find the area of the lawn in whole.
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The diagonals of the square is the diameter of the circle
Find the area of the square:
Area = Length x Length
Area = 58 x 58
Area = 3364 cm²
Find the diagonal of the square:
a² + b² = c²
58² + 58² = c²
c² = 7=6728
c = √6728
c = 58√2 cm
Find the area of the whole circle:
Area = πr²
Area = π( 58√2 ÷ 2)²
Area = 1682π cm²
Find the area of the two segment:
Area = (1682π - 3364 ) ÷ 2 = 961.14 cm²
Find the area of the lawn:
Area = 3364 + 961.14 = 4325.14 cm²
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