Area of the incircle of an equilateral triangle with side 12 cm is:a)12andpi; sq.cmb)andradic;3andpi; sq.cmc)6andpi; sq.cmd)18andpi; sq.cmCorrect answer is option 'A'. Can you explain this answer?

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Area of the incircle of an equilateral triangle with side 12 cm is:

a)
12π sq.cm
b)
√3π sq.cm
c)
6π sq.cm
d)
18π sq.cm

Correct answer is option 'A'. Can you explain this answer?

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Area of the incircle of an equilateral triangle with side 12 cm is:a)1...

Radius of an incircle of an equilateral Δ = a/2√3
Where a = length of the side of an equilateral Δ
Radius of the incircle = 12/2√3 = 6/√3
Area of the incircle = π × r² = π × (6/√3)² = 12π cm²
∴ The area of the incircle is 12π sq.cm

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Area of the incircle of an equilateral triangle with side 12 cm is:a)12π sq.cmb)√3π sq.cmc)6π sq.cmd)18π sq.cmCorrect answer is option 'A'. Can you explain this answer?

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