PYQ · UPSC Combined Defence Services 2023 · Elementary Mathematics · Q61 Difficulty 2/5
Geometry, Mensuration & Measurement› Plane Mensuration
What is the area of the circle (approximately) inscribed in a triangle with side lengths 12 cm, 16 cm and 20 cm ?
Answer b.
Explanation Answer · b
An inradius of 4 cm gives incircle area about 50.27 cm². The triangle is right-angled because 12²+16²=20². Its area is 96 cm² and semiperimeter is 24 cm, so inradius=area/semiperimeter=4 cm. The incircle area is 16π≈50.27 cm².
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