How to Find the Area of a Triangle Inscribing a Circle

Finding the area of a triangle that inscribes a circle (also called the incircle) is a classic geometry problem that beautifully combines algebra and geometry. The circle that touches all three sides of a triangle from the inside is known as the incircle, and its center is the incenter.

The formula for the area of such a triangle is based on two important parameters:

r (inradius) → the radius of the inscribed circle

s (semi-perimeter) → half of the triangle’s perimeter

Watch the Explanation on YouTube 🎥

If you’d like to see a step-by-step visual explanation with examples, check out this video:


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