Question

If the circumference of a circle is 221cm find the area of the circle​

Answer 1

first find the radius of the circle r^2=221/22/7 then find the area

Answer 2

3885.93 cm² or 3886.64 cm²

Explanation:

Hello!

Circumference of a Circle:
`C = 2\pi r`

We first have to find the radius. To do so, we can plug in 221 for "C" and isolate "r".

Find the Radius

• 
  `C = 2\pi r`
• 
  `221 = 2\pi r`
• 
  `110.5 = \pi r`
• 
  `35.1732424233 = r`
• 
  `r \approx 35.17`

Area of a Circle:
`A = \pi r^2`

Now that we have the radius, we can use it to find the area using the area formula.

Find the Area

• 
  `A = \pi r^2`
• 
  `A = \pi (35.17)^2`
• 
  `A = \pi(1,236.9289)`
• 
  `A = 3,885.9267452529`
• 
  `A \approx 3,885.93`

The area is approximately 3885.93 cm².

If we used the full number (all decimals given by the calculator), you would have an answer around 3886.64.