Question

What is the area of a circle of
diameter 50 cm? *​

Answer 1

Given :

• Diameter of circle = 50 cm.

To find :

• Area of circle .

Solution :

• Diameter = 50 cm.

We know,

${\boxed{\bold{Radius=\dfrac{Diameter}{2}}}}$

So,

$\sf{Radius=\dfrac{50}{2}\:cm}$

$\implies\sf{Radius(r)=25\:cm}$

We know,

${\boxed{\bold{Area\: of\: circle=\pi\:r^2}}}$

$\sf{Area\: of\: the\: circle=\frac{22}{7}\times\:25\times\:25\:cm^2}$

$\implies\sf{Area\: of\: the\: circle=1962.5\:cm^2}$

Therefore, area of the circle is 1962.5 cm².

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More information :-

• Diameter of circle = 2r
• Circumference of circle = 2πr
• Circumference of semicircle = πr.
• Area of semicircle = πr²/2

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Answer 2

Question :

• What is the area of a circle of diameter 50 cm?

Answer :

Let the area of circle = x

Diameter of circle = 50 cm

${\boxed{\green{\sf{Diameter \: of \: circle = \: \frac{Radius}{2}}}}}$

Radius = $\sf\frac{\cancel{50}}{\cancel{2}}$${\boxed{\green{\sf{Area\: of \: circle = \: \pi\r^2}}}}$

$\sf\frac{22}{7}\:×25\:×25$

• Hence, by cancelling the numbers, we get 1962.5

:$\implies{\underline{\boxed{\green{\sf{Answer \: is \: 1962.5}}}}}$