Answer:
Therefore, The area of shaded region = Area of square ABCD – Area of unshaded region
= (196 – 41.12) = 154.88 cm9
Step-by-step explanation:
The side of the square = 14 cm So, it’s area = 142 = 196 cm2 Let’s assume the radius of each semi-circle be r cm. Then, r + 2r + r = 14 – 3 – 3 4r = 8 r = 2 The radius of each semi-circle is 2 cm. Area of 4 semi-circles = (4 x ½ x 3.14 x 2 x 2) = 25.12 cm2 Now, length of side of the smaller square = 2r = 2 x 2 = 4 cm Thus, the area of smaller square = 4×4 = 16 cm2 Area of unshaded region = Area of 4 semi-circles + Area of smaller square = (25.12 + 16) = 41.12 cm2
