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Answers
YOUR ANSWER IS - 1171.72 m²
See the attachment for explanation.
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s= 50 m
Area of square = s² = 50² = 2500 m²
radius of quadrant QRC = s/2 = 50/2 = 25 m [ given R and Q are mid points of BC and RC]
area of quadrant = πr²/4 = π 25²/4 = 625π/4 m²
similarly , radius of other quadrants is 25 m so their area is also equal.
area of 4 quadrants = 4× 625π/4
= 625π
Area of shaded region = area of sq. - area of quadrants
= 2500 - 625π
= 625 ( 4 - π)
= 625 ( 4- 22/7)
= 625 ( 4 - 3.14)
= 625 × 0.86
= 537.5 m²