Determine the equation of the circle graphed below.
A) (x – 4)² + (y – 3)² = 9
B) (x – 4)² + (y – 3)² = 16
C) (x – 7)² + (y – 7)² = 9
D) (x – 7)² + (y – 7)² = 16
Determine the equation of the circle graphed below
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Determine the equation of the circle graphed below.
A) (x – 4)² + (y – 3)² = 9
B) (x – 4)² + (y – 3)² = 16
C) (x – 7)² + (y – 7)² = 9
D) (x – 7)² + (y – 7)² = 16
To determine the equation of the circle, we need to identify the center and the radius of the circle from the graph.
The general form of the equation of a circle is:
[
(x – h)^2 + (y – k)^2 = r^2
]
where ((h, k)) is the center and (r) is the radius.
1. Identify the Center: Look for the center of the circle on the graph.
2. Determine the Radius: Measure the distance from the center to the edge of the circle to find the radius.
Once you have both the center ((h, k)) and radius (r), plug those values into the equation format above.
– If the center is (4, 3) with a radius of 3, then the equation is ((x – 4)^2 + (y – 3)^2 = 3^2 = 9), which corresponds to option A.
– If the center is (4, 3) with a radius of 4, it would be option B, and so forth for other options.
Without the specific graph or values, I can’t determine which option is correct, but you can follow these steps to find the correct answer!
If you have the center and radius, match them to one of the options A, B, C, or D provided above. Good luck! And if you need more assistance, feel free to