What is the area of a triangle inscribed in a circle with radius 1?

Put the formula of the area of triangle that is 1/2 ×Base × Height . we get the area as 3 root 3 that is 5.196. Originally Answered: A circle with radius 1 is inscribed in 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 inscribed equilateral triangle?

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.

Which triangle has largest area?

equilateral one
Among all triangles inscribed in a given circle, the equilateral one has the largest area. Among all triangles inscribed in a given circle, the equilateral one has the largest area.

When a circle is inscribed in a triangle?

A circle is inscribed in the triangle if the triangle’s three sides are all tangents to a circle. In this situation, the circle is called an inscribed circle, and its center is called the inner center, or incenter.

What is the area of equilateral triangle inscribed in Circle R?

Area of equilateral triangle inscribed in a circle of radius R will be 20.784, whereas side of the triangle will be 6.928. Input: R = 7 Output: 63.651 Explanation: Area of equilateral triangle inscribed in a circle of radius R will be 63.651, whereas side of the triangle will be 12.124

Which triangle is inscribed in a circle of radius 6 cm?

An equilateral triangle is inscribed in a circle of radius 6 cm. Find its side.

How do you find the area of an equilateral triangle?

You can draw an equilateral triangle inside the circle, with vertices where the circle touches the outer triangle. Now, you know how to calculate the area of that inner triangle from Sal’s video. Specifically, this is 3/4 * r^2 * sqrt (3).

How do you make an equilateral triangle in a circle?

equilateral triangleinscribed in a circle with a compass and straightedge or ruler. This is the largest equilateral triangle that will fit in the circle, with each vertextouching the circle. This is very similar to the construction of an inscribed hexagon, except we use every other vertex instead of all six.