Question

A square ABCD is drawn with side 20cm. Two quadrants are drawn on both sides of the diagonal BD taking A and C as centres respectively. Find the area of the shaded region, shown in the Figure.Take π = 3.14.

Answer 1

Answer:

228 cm²

Step-by-step explanation:

Find the area of the the square:

Area = Length x Length

Area = 20 x 20 = 400 cm²

Find area of the sector ABD:

Area = 1/4 πr²

Area = 1/4 π(20)² = 100π = 314 cm²

Find the area of the segment BCD (Denoted by x in the attachment):

Area = 400 - 314 = 86 cm²

Find the area of the segment BAD (Denoted by y in the attachment):

Area of the segment BAD = Area of the segment BCD

Area of the segment BAD = 86 cm²

Find the area of the shaded region:

Area = 400 - 86 - 86 = 228 cm²

Answer: 228 cm²