determine the equation of the circle graphed below

Firstly, we need to find the radius of the circle. In this case, through the Pythagorean theorem, we can find it to be √(9-4)^2 + (4-3)^2 = √25 + 1 = √26.

Therefore, the equation of the circle would be (x – h)^2+ (y – k)^2 = r^2, where h and k are the x and y-coordinates of the center of the circle respectively, and r is the radius. Hence, the equation of this circle would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.

Hope this helped!

mhanifa mhanifa · Answer 2 · 2021-06-19T10:19:13+02:00

mhanifa mhanifa

19-06-2021

Answer:

(x - 3)² + (y - 4)² = 26

Step-by-step explanation:

Equation in standard form:

(x - h)² + (y - k)² = r²,

where (h, k) is the center and r- radius

On the graph we have (h, k) = (3, 4)

Find the r² using the distance formula:

r² = ( 4 - 3)² + (9 - 4)² = 1² + 5² = 26

The equation is:

(x - 3)² + (y - 4)² = 26

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