Question

(3) ABCD is a square. Areas of circle are
drawn with opposite vertices as centre
and radius equal to side of the square as
shown in figure. If side of square is 8cm,
find are of the shaded region.​

Answer 1

Step-by-step explanation:

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Answer 2

The area of the shaded region will be 36.57 cm².

Step-by-step explanation:

The area of the quarter circle, making B as the center and radius 8 cm, will be

= $\frac{1}{4}\pi r^{2} = \frac{1}{4}\times \frac{22}{7}\times (8)^{2} = 50.28$ cm².

Again, the area of the quarter circle, making D as the center and radius 8 cm, will be

= $\frac{1}{4}\pi r^{2} = \frac{1}{4}\times \frac{22}{7}\times (8)^{2} = 50.28$ cm².

Now, the area of the square is (8 × 8) cm² = 64 cm²

Therefore, the area of the shaded region will be [(50.28 + 50.28) - 64] = 36.57 cm². (Answer)