Question

Figure-4
OR
In Figure-5, ABCD is a square with side 7 cm. A circle is drawn
circumscribing the square. Find the area of the shaded region.
С
Figure-5​

Answer 1

Answer:

Area of shaded region = Area of square - Area of circle

49- 38.5= 10.5sq.m

Answer 2

Area of shaded region - Area of circle - Area of square

• Area of square = side² = 7² cm² = 49cm²
• The diagonal of the square forms the diameter of the circle
• In ΔABC, AB²+BC² = AC²
• 49 + 49 = AC²
• AC = 7√2 cm
• Hence, diameter of circumscribing circle = 7√2cm
• Radius = 7√2/2 cm
• Area of circle = πr² = 22/7 × 7√2/2 × 7√2/2 =77cm²
• Hence, area of shaded region = 77cm² -44cm² = 33 cm²