Question

Quadrants of 10 cm radius are cut from each corner of the square ABCD to leave the figure shaded in diagram. Taking pie to be 3.14 find
A. The total area of 4 quadrants
B. The area of shaded region
C. The perimeter of shaded region

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

solved

Step-by-step explanation:

let the side length of the square = L

A. The total area of 4 quadrants  = πr² = 100π  = 314 cm²

B. The area of shaded region  = L² - 314

C. The perimeter of shaded region = 4(L-20) + 20π =  4L - 20 (4-π)