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ABCD is a square of side 14cm.with centre A,B,C,D four circles are drawn such that each circle touch externally two of the remaining three circles.find area of shaded region |
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Answer» Answer: 42 cm Step-by-step explanation: Since square has all angles 90 degree Area of shaded region = Area of square ABCD Are of 4 quadrants of circle Area of square ABCD Given side of square = 14 cm Area of the square = ( Side)² = (14)² =(14x14) = 196
In the question, diagram SHOWS symmetry therefore, the radius of the circle would be equal. In every SINGLE diagrams radius = side of square DIVIDED by 2 = 14/2 = 7 So, radius = R = 7 cm Now, Area of one quadrant = 1/4x area of circle 1/2x py r square 1/2x22/7x(7²) 1/2x22x49 154/4 cm²
Area of shaded region = area of square - area of 4 quadrant 196-154 = 42 cm²
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