In the following figure, a circle is inscribed in square A B C D and the square is circumscribed by a circle. If the radius of the smaller circle is r cm, then find the area of the shaded region (in cm 2 ).

Question

In the following figure, a circle is inscribed in square A B C D and the square is circumscribed by a circle. If the radius of the smaller circle is r cm, then find the area of the shaded region (in cm 2 ). (A) ((π-2/4)) r2 (B) ((3 π-4/2)) r2 (C) ((π+2/4)) r2 (D) ((π-2/2)) r2

Tardigrade Admin · Accepted Answer

Diagonals of the square meet at the centre of the circles

Q. In the following figure, a circle is inscribed in square $A BC D$ and the square is circumscribed by a circle. If the radius of the smaller circle is $rc m$ , then find the area of the shaded region (in $c m^{2}$ ).

$(\frac{π - 2}{4}) r^{2}$

$(\frac{3 π - 4}{2}) r^{2}$

$(\frac{π + 2}{4}) r^{2}$

$(\frac{π - 2}{2}) r^{2}$

Diagonals of the square meet at the centre of the circles

Q. In the following figure, a circle is inscribed in square ABCD and the square is circumscribed by a circle. If the radius of the smaller circle is rcm, then find the area of the shaded region (in cm2 ).

(4π−2​)r2

(23π−4​)r2

(4π+2​)r2

(2π−2​)r2

Diagonals of the square meet at the centre of the circles

Q. In the following figure, a circle is inscribed in square $A BC D$ and the square is circumscribed by a circle. If the radius of the smaller circle is $rc m$ , then find the area of the shaded region (in $c m^{2}$ ).

$(\frac{π - 2}{4}) r^{2}$

$(\frac{3 π - 4}{2}) r^{2}$

$(\frac{π + 2}{4}) r^{2}$

$(\frac{π - 2}{2}) r^{2}$