The area of an equilateral triangle is * square meter. Determine the area of a circle inscribed within the triangle.

Created: 3 months ago | Updated: 3 months ago

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Let, the length of a side of the triangle = a meters

We know, the area of an equilateral triangle= $\frac{\sqrt{3}}{4} a^{2}$

$\frac{\sqrt{3}}{4} a^{2} = 3 \sqrt{3} \Rightarrow a^{2} = 12 \Rightarrow a = \sqrt{12} = 2 \sqrt{3}$ meters.

The radius of the circle = $\frac{\frac{1}{2}}{\sqrt{3}} \times 2 \sqrt{3} = 1$ meter (the length of radius is $\frac{1}{2 \sqrt{3}}$ times of a triangle side)

So, the required area $= π \times 1^{2} = π = \frac{22}{7} = 3.1416$ square meters approximately. ans.

3 months ago

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Solve the equations: $2 {(\frac{x + 3}{x - 3})}^{2} - 7 (\frac{x + 3}{x - 3}) + 6 = 0$

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The area of a rectangle is 1,200 square meter. If the length of the rectangle of the rectangle is reduced 10 meter, it becomes a square, Calculate the length if the diagonal of the rectangle.

Created: 3 months ago | Updated: 3 months ago

Job Solution Rajshahi Krishi Unnayan Bank Rajshahi Krishi Unnnayan Bank Ltd Recruitment Test for Office ( Written ) 2017 Examination Held: 15.08.2017 || 2017 গণিত

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The area of an equilateral triangle is * square meter. Determine the area of a circle inscribed within the triangle.

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