What is the area of the circle (approximately) inscribed in a triangle with side lengths 12 cm, 16 cm and 20 cm ?  

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CDS Elementary Mathematics 16 April 2023 Official Paper
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  1. 48 square cm 
  2. 50 square cm 
  3. 52 square cm 
  4. 54 square cm 

Answer (Detailed Solution Below)

Option 2 : 50 square cm 
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Detailed Solution

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Formula used:

The Inradius of a right-angled triangle can be given as

r = (P + B - H)/2

Area of circle = πr2

Calculation:

F2 Savita Defence 31-5-23 Sachin K D23

By using the above formula 

r = (12 + 16 - 20)/2 = 8/2 = 4 cm

Area of circle = πr2

Area of circle = π (4)2 ≈ 50.27 cm² or 50 cm² 

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