Question

ABCD is a square with side 7 cm. A circle is drawn
circumscribing the square. Find the area of the shaded region.

Answer 1

area of the shaded region is 28 cm ²

Step-by-step explanation:

here ,

side of square = 7 cm

then BD (diagonal of square ) = $\sqrt{2} (side)$ = $7\sqrt{2}$

diagonal of square = diameter of circle

therefore , radius of circle = $\frac{diamter}{2}= \frac{7\sqrt{2} }{2}$

then area of circle = $\pi r ^2$

$\frac{22}{7}\times \frac{7\sqrt{2} }{2} \times \frac{7\sqrt{2} }{2}$

= 77 cm ²

area of square = side²  = 7² = 49 cm²

then

area of the shaded region = area of circle - area of square

area of the shaded region = 77 - 49 = 28 cm ²

hence, area of the shaded region is 28 cm ²

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Answer 2

Step-by-step explanation:

I hope this helps you

have a nice day ahead