Question

Find the area of the shaded region in fig. where ABCD is a square of side 14cm.
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Answer 1

Answer:

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Answer 2

Answer:

The area of the shaded region is 42cm².

Step-by-step explanation:

Given:

• ABCD is a square of side 14cm.

Need to find:

• Area of the shaded region

Explanation:

As we know that,

Area of the square = side×side

=> 14×14 cm²

=> 196cm²

Now,

Diameter of each circle = 14/2 = 7cm

Therefore,

Radius of each circle= 7/2cm

As we know that,

Area of one circle = πr² = 22/7×7/2×7/2cm²

=> 154/4cm

=> 77/2cm²

Therefore,

Area of four circles = 4×77/2cm²

=> 154cm²

As we know that,

Area of the shaded region = area of square - area of four circles

=> 196 - 154 cm²

=> 42cm²

Hence,area of the shaded region is 42cm².