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33 votes
33 votes
19. What is the equation of the circle shown below?

-B
8
6
*
2
NO
4
+6
co
2
6

19. What is the equation of the circle shown below? -B 8 6 * 2 NO 4 +6 co 2 6-example-1
User Ivan Bryzzhin
by
3.4k points

1 Answer

25 votes
25 votes

Answer:

A. (x +3)² +(y -1)² = 16

Explanation:

You want the equation of the circle that has its center at (-3, 1) and has a radius of 4.

Equation of a Circle

The standard-form equation of a circle is ...

(x -h)² +(y -k)² = r²

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

Application

The graph shows you the center is (h, k) = (-3, 1) and the radius is 4. Using these values in the above equation, we find the equation of the circle to be ...

(x -(-3))² +(y -1)² = 4²

(x +3)² +(y -1)² = 16

User CpILL
by
3.2k points