Since the area of a circle is determined by the formula A = πr^2, where A is the area and r is the radius, we can find the radius of each circle.
For circle 1, with an area of 6 square units:
6 = πr^2
r^2 = 6/π
r ≈ √(6/π) ≈ 1.29 units
For circle 2, with an area of 7 square units:
7 = πr^2
r^2 = 7/π
r ≈ √(7/π) ≈ 1.49 units
Since the radius of circle 2 is larger than the radius of circle 1, the circumference of circle 2 is longer than the circumference of circle 1. Therefore, the statement "The circumference of circle 2 is longer than the circumference of circle 1" is true.
The area of circle 1 is 6 square units. The area of circle 2 is 7 square units.
Which of these statements is true about the circumferences of the circles?
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1 answer