How do you find the area of an equilateral triangle inscribed in a circle?
How do you find the area of an equilateral triangle inscribed in a circle?
The area of a circle inscribed inside an equilateral triangle is found using the mathematical formula πa2/12.
What is the area of an equilateral triangle whose inscribed circle has radius?
So, the area of the inscribed equilateral triangle is equal to three times the area of the equilateral triangle whose each side is equal to the radius of the circle.
What is an equilateral triangle inscribed in a circle?
This is the largest equilateral triangle that will fit in the circle, with each vertex touching the circle. This is very similar to the construction of an inscribed hexagon, except we use every other vertex instead of all six.
How is the area of a circle inscribed in an equilateral triangle related to the area of a circle circumscribed around that same triangle?
How is the area of a circle inscribed in an equilateral triangle related to the area of a circle circumscribed around that same triangle? The area of the inscribed circle is 1/2 the area of the circumscribed circle.
What is the radius of the circle inscribed in an equilateral triangle?
For finding the radius of the circle use the formula r=(s−a)tanA2 and the known thing that s of a equilateral triangle is half of three times of its sides and all angles are equal to 60∘.
What is Apothem of a polygon?
The apothem of a regular polygon is the line segment drawn from the center of the polygon perpendicular to one of its edges. It is also the radius of the inscribed circle of the polygon.
What is the height of equilateral triangle inscribed in a circle?
Using the properties of 30˚−60˚−90˚ triangles, it can be determined that h=1 and s2=√3 . Thus, s=2√3 and the height of the triangle can be found through a+h=2+1=3 .
What is the area of the largest triangle that is inscribed in a semicircle of radius R unit?
The area of the largest triangle that can be inscribed in a semi-circle of radius ‘r’ is: r2. 2r2.
