Question

For the inauguration of an art and culture club in the school, badges were given to participants Badges are made
in the shape of an equilateral triangle of side 6 cm with a circle of radius √2 cm inscribed in it as shown in the figure
Find the area of the shaded portion. (Use π= 3.14)
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Answer 1

Step-by-step explanation:

Given:

The badges are in the shape of equalateral triangle of side 6cm and in a triangle the circle is inscribed the circle is of √2cm radius

Area of equalateral triangle:1/2 a²

1/2(6)²=1/2(36)=18cm

Area of circle= πr²

3.14(√2)²=3.14(2)=6.28cm

Area of shaded region=Area of equalateral triangle-Area of circle

18cm-6.28cm

11.72cm

so the shaded region is 11.72cm

I hope this helps you