Question

A square of side 14 cm is cut from a quadrant OPBQ of a circle with centre o find the area of the shaded region

(please solve with explaination​

Answer 1

$radius \: of \: quadrant = diagonal \: of \: square \\ = side \times \sqrt{2} \\ = 14 \sqrt{2}$cm

$area \: of \: figure = \frac{\pi \times {radius}^{2} }{4} \\ = 308 {cm}^{2}$

$area \: of \: square = {side}^{2} = {14}^{2} = 196 {cm}^{2}$

$area \: of \: shaded \: region \: = 308 - 196 = 112 {cm}^{2}$

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