To solve the problem regarding the circumcircle and incircle of a right-angled triangle ABC, we will follow these steps: Step 1: Understand the properties of the triangle Given that triangle ABC is a right-angled triangle, we know that the circumradiusRcan be calculated using the formula: ...
The circumcircle of a regular polygon is the circle that passes through all the vertices of the polygon. The radius of the circumcircle is the distance from the center to any vertex of the polygon. The area of the regular polygon can be calculated using the formula (you do not need the r...
To find the length of the radius of the circumcircle of an equilateral triangle with a side length of 6√3 cm, we can use the formula for the circumradius R of an equilateral triangle: R=a√3 where a is the length of the side of the triangle. 1. Identify the side length of the ...
Atrianglehas exactly one unique circle that can fit through all of its vertices. This circle is termed thecircumcircleby geometers. Let the triangle's vertices be the pointsA,B, andC. Then the circumcircle is defined by these three points uniquely. The three points uniquely identify both the...