The area of an equilateral triangle is `49sqrt(3)c m^2` . Taking each angular point as shown in Figure. Find the area of the triangle not included in the circle.

Explanation

Given: Area of equilateral triangle =`49(sqrt3) cm^2`

Let the side of the equilateral triangle is a

Area of equilateral triangle =`(49)(sqrt3) cm^2`

`:. (sqrt3)/4 xx a^2 = 49(sqrt3) `

`:. a = 14 cm `

The area of 3 circles is `=3xx ((theta)/360^0) xx pi xx r^2`

`:.`The area of 3 circles is =` 3xx(60/360)xx (22/7) xx 7^2 =77 cm^2 `

Area of remaining part = Area of equilateral triangle - Area of 3 circles

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