[Figure: square ABCD with a circle inscribed in it; the four corner regions between the circle and the sides of the square are shaded.]In the figure given above, □ ABCD is a square and a circle is inscribed in it. All sides of a square touch the circ…

Q.2 (A)(3)

[Figure: square ABCD with a circle inscribed in it; the four corner regions between the circle and the sides of the square are shaded.]

In the figure given above, □ ABCD is a square and a circle is inscribed in it. All sides of a square touch the circle.

If AB = 14 cm, find the area of shaded region.

Solution :

Area of square = (____)² ............ (Formula)

= 14²

= ____ cm²

Area of circle = ____ ............ (Formula)

= \(\dfrac{22}{7} \times 7 \times 7\)

= 154 cm²

(Area of shaded portion) = (Area of square) – (Area of circle)

= 196 – 154

= ____ cm²