Question

The square ABCD has area 4cm² and touches the circle at
4 points. Find the area of the shaded region, correct to the
nearest cm?​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

given :

The square ABCD has area 4cm² and touches the circle at

4 points. Find the area of the shaded region, correct to the

nearest cm?

to find :

Find the area of the shaded region, correct to the

nearest cm?

solution :

area of square ABCD = 4× 4 = 16 cm

Diameter of each circle = 4/2 = 2 cm

So, radius of each circle = 7/2 cm

So, area of 4 circles = 4 x 22/7 × 7/2 × 7/2

= 4 x 154/4 cm²

= 154 cm²

Area of shaded region = Area of square - Area of 4 circles

Area of shaded region = 196 - 154

Area of shaded region 42 cm²

Hence, the area of the shaded region is 42 cm²