Question

A square OPQR is inscribed in a quadrant OAQB of a circle IF THE RADIUS of the circle is 6root2 find the area of shaded region

Answer 1

Answer:

FOLLOW FOR A FOLLOW BACK

Answer 2

20.54 $cm^2$ is the Answer

Step-by-step explanation:

The figure attached can explain better-

• Diagonal of the quadrant = radius = $6\sqrt 2$ cm

As $Side \times \sqrt 2 = 6\sqrt 2$

or Side = 6 cm

• Area of Square = $(Side)^2$

= $(6\ cm)^2$

= $(36 \ cm)^2$

• Area of Quadrant $(\frac {1}{4})^{th}$of the Circle = $(\frac {1}{4}) \times \pi r^2$

= $(\frac {1}{4}) \times \frac {22}{7} \times 6\sqrt 2\times 6\sqrt 2$

= 56.54 $cm^2$

• Area of Shaded Region = Area of Quadrant - Area of Square

= 56.54 - 36

= 20.54 $cm^2$