Question

find the area of the shaded region in the given figure where ABCD is a square of side 21 cm
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Answer 1

Answer:

94.5 cm²

Step-by-step explanation:

Radius of each quadrant = 1/2 of side of square = 21/2 = 10.5

Area of Shded portion =

Area of Sq. - Area of 4 quads =

21² - 4 × 1/4 × 3.14 × 10.5² =

94.5

Answer 2

radius of each quadrant will be half of side of square i e

21 / 2 = 10 . 5 cm ^2

area of shaded region = area of square - area of 4 quadrants .

area of square = a^2

21^2 = 441 cm^2

area of 4 quadrants = 1 / 4 π r ^2

= 1/4 * 22 / 7 * 21 * 21

= 346.5 cm ^2

so ,

shaded region =

441 - 346.5 = 94.5 cm ^2

regards

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