Question

A circumcircle of a triangle is defined as:

Options

• A circle inscribed inside the triangle touching all three sides

• A circle passing through all three vertices of the triangle

• A circle whose center lies at the centroid of the triangle

• A circle with radius equal to the triangle's height

Answer 1

A circle passing through all three vertices of the triangle

Explanation:

A circumcircle is uniquely defined as the circle that passes through all three vertices of a triangle. This distinguishes it from an incircle which touches the sides internally.