Solution:
We know that:
Area of circle = πr² = 16π
Let's undo this equation by dividing π both sides. Then, take a square root to find the radius.
- => πr² = 16π
- => πr²/π = 16π/π
- => r² = 16
- => √r² = √16
- => r = 4
Now, let's find the circumference by substituting the radius in the circumference formula.
- => 2πr = Circumference
- => (2)(π)(r) = Circumference
- => (2)(π)(4) = Circumference
- => 8π meters = Circumference
Since the question says to leave the circumference in terms of π, 8π meters is the circumference of the circle.
Thus, the circumference is 8π meters
