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25/06/2021 1:53 pm
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From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in Figure. Find the area of the remaining portion of the square.
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25/06/2021 1:55 pm
Side of the square = 4 cm
Radius of the circle = 1 cm
Area of square = (side)2 = 42 = 16 cm2
Area of the quadrant = (πR2)/4 cm2
= (22/7)×(12)/4 = 11/14 cm2
∴ Total area of the 4 quadrants = 4 × (11/14) cm2
= 22/7 cm2
Area of the circle = πR2 cm2 = (22/7 × 12)
= 22/7 cm2
Area of the shaded region = Area of square – (Area of the 4 quadrants + Area of the circle)
= 16 cm2 - (22/7) cm2 + (22/7) cm2
= 68/7 cm2