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The circumference of a circle is 15n cm what is the area of the circle in terms of n

User Autocrab
by
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1 Answer

2 votes

Answer:

Area of circle is
(225n^(2))/(4\pi) cm^(2)

Explanation:

Formula for circumference of circle is given as,


C=2\pi r

Given that C = 15 n cm,

Substituting the value,


15n=2\pi r

Solving above equation for r, divide both side by
2\pi


(15n)/(2\pi)=(2\pi r)/(2\pi)

Simplifying,


(15n)/(2\pi)=r

Formula for area of circle is given as,


A=\pi r^(2)

Substituting the value of r,


A=\pi \left((15n)/(2\pi)\right)^(2)

Squaring the parenthesis,


A=\pi \left((225n^(2))/(4\pi^(2))\right)

Cancelling out the common term,


A=(225n^(2))/(4\pi)

Therefore, area of circle in terms of n is
A=(225n^(2))/(4\pi) cm^(2)

User RononDex
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