2023 · Q61
What is the area of the circle (approximately) inscribed in a triangle with side lengths 12 cm, 16 cm and 20 cm?
Elementary MathematicsCircles
- A48 square cm
- B50 square cm
- C52 square cm
- D54 square cm
Explanation
Since 12² + 16² = 144 + 256 = 400 = 20², the triangle is right-angled with inradius (12 + 16 − 20)/2 = 4 cm. The incircle's area is 16π ≈ 50.27, approximately 50 square cm (B).