Question

In the given figure, find the area of the shaded portion. Square with side

10cm and circle with radius 3.5cm​

Answer 1

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Answer 2

Given: Sides of a square= 10 cm

           Radius of the circle= 3.5 cm

To Find: Area of the shaded portion

Solution:

Area of a square= (side)² unit²

                           = 10 $\times$ 10 cm²

                           = 100 cm²

Area of a circle= πr² unit² (r is the radius)

                        = $\frac{22}{7} \times (3.5)^{2}$ cm²

                        = $\frac{22}{7} \times \frac{35}{10} \times \frac{35}{10}$ cm²

                        = $\frac{3850}{100}$ cm²

                        = 38.5 cm²

∴ Area of shaded region= Area of the square - area of the circle

                                        = (100 - 38.5) cm²

                                        = 61.5 cm²

Answer: The area of the shaded region is 61.5 cm².