What is the equation of a circle with center (-2, 3) and radius 4?A.B.C.D.SUBMITarrow_backPREVIOUS
Question
What is the equation of a circle with center (-2, 3) and radius 4?
A.
B.
C.
D.
SUBMIT
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Solution
The equation of a circle in the coordinate plane with center (h, k) and radius r is given by the formula:
(x - h)² + (y - k)² = r²
Given that the center of the circle is (-2, 3) and the radius is 4, we can substitute these values into the formula to get the equation of the circle:
(x - (-2))² + (y - 3)² = 4²
Simplifying this gives:
(x + 2)² + (y - 3)² = 16
So, the equation of the circle with center (-2, 3) and radius 4 is (x + 2)² + (y - 3)² = 16.
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