The formula for the area of a circle is A equals xr2 this formula allows you to find the area of a circle if you know the radius or diameter how can you find the area if you onl…

Question

asked Jun 25, 2020 69.1k views

1 Answer

Jistr · Answer 1 · 2020-06-29T15:28:53+0000

Answer:

The relation for the area of circle with radius , Diameter , circumference is

A=
$\pi$ × radius²

A =
$(\pi D^(2) )/(4)$

A =
$(c^(2) )/(4\pi )$

Explanation:

Given as :

The formula for the area of circle =
$\pi$ × radius²

I.e A =
$\pi$ × radius²

Now If we know radius then

Area calculated as A=
$\pi$ × radius²

If we know Diameter then

Area calculated as
$\pi$ × (
$(\textrm Diameter)/(2)$ )²

Or, A =
$\pi$ × (
$(\textrm D)/(2)$ )²

I,e A =
$(\pi D^(2) )/(4)$

If we know the circumference then

∵ circumference = c = 2 ×
$\pi$ × radius

or, c = 2 ×
$\pi$ × r

from here we calculate radius

I.e r =
$(c)/(2\pi  )$

And So , Area ( A ) =
$\pi$ × radius²

I.e A =
$\pi$ × (
$(c)/(2\pi  )$ )²

Or, A =
$(c^(2) )/(4\pi )$

Hence The relation for the area of circle with radius , Diameter , circumference is

A=
$\pi$ × radius²

A =
$(\pi D^(2) )/(4)$

A =
$(c^(2) )/(4\pi )$ Answer