A circle is inscribed in a triangle. What is the relationship between the radius

Practice Questions

Q1
A circle is inscribed in a triangle. What is the relationship between the radius of the incircle and the area of the triangle?
  1. r = A/s
  2. r = s/A
  3. r = 2A/s
  4. r = s/2A

Questions & Step-by-Step Solutions

A circle is inscribed in a triangle. What is the relationship between the radius of the incircle and the area of the triangle?
  • Incircle and Triangle Area Relationship – The relationship between the radius of the incircle (r) and the area (A) of a triangle, expressed through the formula r = A/s, where s is the semi-perimeter.
  • Semi-perimeter – Understanding the semi-perimeter (s) as half the sum of the triangle's side lengths, which is crucial for applying the incircle radius formula.
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