Question

If the area of a circle is A,radius is r and circumference is C, which of the following is true?

Answer 1

Step-by-step explanation:

πr²=2πr

r=2

therefore A=C

Answer 2

area of circle A = $\frac{C^2}{4\pi }$

Step-by-step explanation:

if area of circle is A

radius of the circle is r

and circumference is C

then

area of circle is give by formula  A = $\pi r^2$

circumference of a circle = $2\pi r$

if we solve for 'r' in the second equation ,

we have r = $\frac{C}{2\pi }$

now we use this to replace r in the first equation we get,

A = $\pi (\frac{C}{2\pi })^2$

A = $\frac{C^2}{4\pi }$

now we can put the value of C into this equation to find the area of the circle where $\pi = 3.14$ or $\frac{22}{7}$

#Learn more:

if the circumference and area of a circle are numerically equal then what is the radius of the circle equal to

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