Question

Derviation of pi ?and area of circle?

Answer 1

Heya Frnd........☺
1)

$\pi$
is the value which is derived from the ratio of
$\frac{circumference}{diameter}$

2) We know that area of sector

$= \frac{ theta}{360} \times \pi \: {r}^{2}$

Here , Theta = angle formed at the centre of the circle.

Now ,

We know that A circle is a complete 360*.

Therefore, THETA = 360

NOW,

theta/ 360 × pi ×r^2

=> 360 / 360 × pi × r^2

=> pi × r ^2 .........( HENCE PROVED )

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♣ There are several methods to derive the area of the circle formula.

♠ This one is the easiest.