Question

If a circle has circumference c, what is it’s are in terms of C

Answer 1

`\text {Circumference = } 2 \pi r`


`c = 2 \pi r`


`\text {r = } (c)/(2 \pi )`



`\text {area = } \pi r^2`

Sub r into area:


`\text {area = } \pi ( (c)/(2 \pi ) )^2`


`\text {area = } (\pi c^2)/(4 \pi^2 )`


`\text {area = } (\ c^2)/(4 \pi )`