What is Circumcircle of a triangle?

What is Circumcircle of a triangle?

The circumcircle is a triangle's circumscribed circle, i.e., the unique circle that passes through each of the triangle's three vertices. The center of the circumcircle is called the circumcenter, and the circle's radius is called the circumradius.

How do you construct an equilateral triangle?

Multiplying the unit circle of 3.14159 squares by 2.309401 triangles/square, we get 7.255197 or 7 ΒΌ equilateral triangles. (Multiplying that by the synergetics constant for two dimensions, 9/8, we get a rational number of 8 equilateral triangles.)

How do you construct a circle circumscribed in a triangle?

Given A, B, and C as the sides of the triangle and A as the area, the formula for the radius of a circle circumscribing a triangle is r = ABC / 4A and for a circle inscribed in a triangle is r = A / S where S = (A + B + C) / 2.

How do you inscribe circumscribe a triangle?

The point where the three angle bisectors of a triangle meet. … One of several centers the triangle can have, the incenter is the point where the angle bisectors intersect. The incenter is also the center of the triangle's incircle – the largest circle that will fit inside the triangle.