Question

3. 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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Answer 1

$Area \: of \: Rectangular \: paper \\ = 30×20 \\ = 600 \: {cm}^{2}$

$Area \: of \: 1 \: Quadrant = \frac{1}{4}\pi( {7)}^{2}$

$Area \: of \: 4 \: Quadrant \\ = 4 \times \frac{1}{4} \times \pi \: ( {7)}^{2}$

$Area \: of \: 4 \: Quadrant = \frac{22}{7} \times 7 \times 7$

$= 15 \: {cm}^{2}$

$Area \: of \: Shaded \: Region \\ = 600 - 154 \\ = 446 \: {cm}^{2}$

Answer 2

Answer:

Area of a rectangular paper

= 30×20

= 600 cm2

Area of 1 quadrant= 1/4π (7)

Area of 4 quadrant

= 4×1/2×π(7)2

Area of quadrant= 22/7×7×7

= 15cm

Area of shaded region

= 600-154

= 446cm2