Three circles each of radius 7 cm are drawn in such a way that each of their touches the outer to find the area enclosed between the circles
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Given:
Three circles each of radius 7 cm are drawn in such a way that each of them touches the outer
To Find:
find the area enclosed between the circles
Solution:
We should know the formula for the area of an equilateral triangle and the area of a sector of a circle,
The area of an equilateral triangle is,
And the area of a sector of a circle is,
We should know that by joining the three centres we will form an equilateral triangle with sides of 7+7=14cm and three sectors on each vertex whose radius is 7 cm so the area of the enclosed part will be the area of the equilateral triangle minus the area of the three sectors,
So,
Hence, the area of the enclosed part is 7.87cm^2.
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