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Question
From each corner of a rectangular paper (30 cm x 20 cm) a quadrant of a circle of radius 7 cm is cut. Find the area of the remaining paper i.e., shaded portion.
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Solution
Length of paper (l) = 30 cm
and breadth (b) = 20 cm
∴ Area of rectangular paper = l × b
= 30 × 20 = 600 cm
Radius of each quadrant at the corner = 7 cm
Area of 4 quadrants =`4xx1/4π"r"^2`
= πr2 = `22/7xx7xx7` = 154 cm2
∴ Area of remaining paper
= 600 − 154 = 446 cm2
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