What is the area of an equilateral triangle inscribed in a circle?

What is the area of an equilateral triangle inscribed in a circle?

Let side length of equilateral ∆BCD be X cm. Area of an equilateral triangle = (√3/4)X^2.

What is the length of an equilateral triangle of side 8cm?

→ AD = BD = 8/2 = 4 cm .

What is the area of the circle inscribed in equilateral triangle of side 24 cm?

18 π cm2.

What is the length of altitude of an equilateral triangle of side A?

Therefore for an equilateral triangle having each side equal to a, we get a length of an altitude as $\dfrac{\sqrt{3}a}{2}$ thus option b) is the correct answer.

What is the ratio of the areas of circles inscribed and circumscribed in an equilateral triangle?

So, for any equilateral triangle, radius of circumcircle : radius of incircle = 2:1. Therefore, for any equilateral triangle, area of circumcircle : area of incircle = 4:1.

What is the radius of the circle inscribed in a triangle with sides of length 12cm 35cm and 37cm?

We have to find the radius of inscribed circle in a triangle with sides of length 12cm , 35 cm and 37 cm. solution : see diagram, let O is the centre of inscribed circle in a triangle ∆ABC. Therefore the radius of circle is 5cm.

Is an equilateral triangle of side 8 cm inscribed in a circle?

An equilateral triangle of side 8 cm is inscribed in a circle . Find the radius of the circle An equilateral triangle of side 8 cm is inscribed in a circle .

How to find the radius of the inscribed circle inside triangle?

The area of a circle inscribed inside an equilateral triangle is found using the mathematical formula πa 2 /12. Lets see how this formula is derived, Formula to find the radius of the inscribed circle = area of the triangle / semi-perimeter of triangle.

How do you find the area of a circle inside a triangle?

The area of a circle inscribed inside an equilateral triangle is found using the mathematical formula πa 2/12. Lets see how this formula is derived, Formula to find the radius of the inscribed circle = area of the triangle / semi-perimeter of triangle. Area of triangle of side a = (√3)a 2/4.

How do you find the radius of an equilateral triangle?

The area of a circle inscribed inside an equilateral triangle is found using the mathematical formula πa 2/12. Formula to find the radius of the inscribed circle = area of the triangle / semi-perimeter of triangle.