Which circle has the largest circumference?
x2 + y2 = 8
(x – 3)2 + y2 = 10
(x + 3)2 + (y + 2)2 = 4
x2 + (y – 2)2 = radical 81
need answer
since √81 = 9, I'd say the winner is #2
10 is the largest of 8,10,4,9
largest radius means largest circumference.
^%$%*(*&^%$%^&*(*&^%$#@#$%^&*(*&^%$#$%^&*(*&^%$%^&*HVRTUO
TOP SECRET
To determine which circle has the largest circumference, we need to compare the equations of each circle and identify the one with the greatest radius.
The equation of a circle in standard form is (x - h)^2 + (y - k)^2 = r^2, where (h, k) represents the center of the circle and r represents its radius.
Let's analyze each equation:
1. x^2 + y^2 = 8:
This equation represents a circle with its center at the origin (0, 0) and a radius of √8 ≈ 2.83.
2. (x - 3)^2 + y^2 = 10:
This equation represents a circle with its center at (3, 0) and a radius of √10 ≈ 3.16.
3. (x + 3)^2 + (y + 2)^2 = 4:
This equation represents a circle with its center at (-3, -2) and a radius of √4 = 2.
4. x^2 + (y - 2)^2 = √81:
Simplifying the equation, we have x^2 + (y - 2)^2 = 9.
This represents a circle with its center at (0, 2) and a radius of 3.
Comparing the radii of each circle, we can see that the circle with the largest circumference is the one described by the equation x^2 + (y - 2)^2 = √81.