The circumference of circle 1 is 16 units. The circumference of circle 2 is 6 units.
Which of these statements is true about the area of the circles?
Since we know the circumference of the circles, we can use the formula for the circumference of a circle to find the radius.
For circle 1:
Circumference = 2 * π * radius
16 = 2 * π * radius
radius = 16 / (2 * π) ≈ 2.546 units
Using the formula for the area of a circle (A = π * (radius)^2), we can find the area of circle 1:
A1 = π * (2.546)^2 ≈ 20.36 square units
For circle 2:
Circumference = 2 * π * radius
6 = 2 * π * radius
radius = 6 / (2 * π) ≈ 0.955 units
Using the formula for the area of a circle, we can find the area of circle 2:
A2 = π * (0.955)^2 ≈ 2.86 square units
Therefore, the true statement about the area of the circles is: The area of circle 1 is larger than the area of circle 2.