Question

The length of the each side of an equilateral triangle is 10.5 cm. The area of incircle, (cm 2 ) is

A 115.5 cm² Correct Answer Incorrect Answer
B 28.875 cm² Correct Answer Incorrect Answer
C 205.33 cm² Correct Answer Incorrect Answer
D 320.83 cm² Correct Answer Incorrect Answer

Solution

Area of incircle of a ∆ = πr 2   =π(a/(2√3)) 2 = π((10.5)/(2√3))    =π × (10.5/2√3)2   =(22/7) × 110.25/12  = 28.75  cm2

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