To find the area of a circle when given the circumference, we can use the relationships between the two. The formula for the circumference (C) of a circle is:
- C = 2πr
where r is the radius of the circle. We are given that the circumference is 628:
- 2πr = 628
Now, we can solve for the radius (r):
- r = 628 / (2π)
- r = 628 / (2 × 3.14)
- r ≈ 100
Now that we have the radius, we can find the area (A) using the area formula:
- A = πr²
Substituting the value of r:
- A = π × (100)²
- A = π × 10000
- A ≈ 31416
Therefore, the area of the circle is approximately 31416 square units.