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DENIUS [597]
3 years ago
8

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 only know the circumference write the formula for the circumference using our then solve for r
Mathematics
1 answer:
iVinArrow [24]3 years ago
4 0

Answer:

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

A=   \pi × radius²

A = \frac{\pi D^{2} }{4}

A = \frac{c^{2} }{4\pi }

Step-by-step explanation:

Given as :

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

I.e A =  \pi × radius²

<u>Now If we know radius then </u>

Area calculated as A=   \pi × radius²

<u>If we know Diameter then</u>

Area calculated as   \pi × (\dfrac{\textrm Diameter}{2})²

Or, A =   \pi × (\dfrac{\textrm D}{2})²

I,e  A = \frac{\pi D^{2} }{4}

<u>If we know the circumference then</u>

∵ circumference = c = 2 × \pi × radius

or, c =  2 × \pi × r

from here we calculate radius

I.e  r = \frac{c}{2\pi  }

And So , Area ( A ) = \pi × radius²

I.e   A = \pi × ( \frac{c}{2\pi  } )²

Or, A = \frac{c^{2} }{4\pi }

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

A=   \pi × radius²

A = \frac{\pi D^{2} }{4}

A = \frac{c^{2} }{4\pi }      Answer

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