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

Posted on August 15, 2020 by Author

Table of Contents

  • 1 What is the area of an equilateral triangle inscribed in a circle?
  • 2 What is the length of altitude of an equilateral triangle of side A?
  • 3 Is an equilateral triangle of side 8 cm inscribed in a circle?
  • 4 How do you find the radius of an equilateral triangle?

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?

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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.

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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.

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