Question

OPQR is square and OAQB is quadrant, radius of the quadrant is 7 cm . Find the area of the shaded region
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Answer 1

Answer:

Area of quadrant,

$= \frac{1}{4} \times \frac{22}{7} \times 7 \times 7 = 38.5$

Side of square,

$d = \sqrt{2} a \\ a = \frac{d}{ \sqrt{2} } = \frac{7}{ \sqrt{2} } = 4.95$

Area of square

$a \times a = 24.5$

Area of the shaded region,

$38.5 - 24.5 = 14 \: {cm}^{2}$