Question

From each corner of a square of side 4 cm a quadrant of a circle of radius 1 cm is cut and also a circle of diameter 2 cm is cut as shown in the given figure. Find the area of the remaining portion of the square.

Answer 1

Each quadrant is a sector of 90° in a circle of 1 cm radius.

Area of each quadrant

Area of square = (Side)² = (4)² = 16 cm²

Area of circle = πr² = π (1)²

Area of the shaded region = Area of square − Area of circle − 4 × Area of quadrant