Each side of an equilateral triangle is 42 cm. What is the area of the circle i

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Question

Each side of an equilateral triangle is 42 cm. What is the area of the circle inscribed in it

Options:

A . .

B . 231 Sq.cm

C . 462 Sq.cm

D . 924Sq.cm

Answer: Option C

Since 3² + 4² = 5² , So it is aright triangle
= (1/2 x 3 x 4)cm² = 6Sq.cm,
S = ½(3+4+5)cm =6cm
Radius of incircle = =>
=>
=>
=>
Area = {22/7 x }cm² =(22/7 x 49 x 3) cm² =462 cm²

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