What is the equation of a circle with center (-3, -5) and radius 4?A.(x - 3)2 + (y - 5)2 = 4B.(x - 3)2 + (y - 5)2 = 16C.(x + 3)2 + (y + 5)2 = 4D.(x + 3)2 + (y + 5)2 = 16SUBMITarrow_backPREVIOUS
Question
What is the equation of a circle with center (-3, -5) and radius 4?A.(x - 3)2 + (y - 5)2 = 4B.(x - 3)2 + (y - 5)2 = 16C.(x + 3)2 + (y + 5)2 = 4D.(x + 3)2 + (y + 5)2 = 16SUBMITarrow_backPREVIOUS
Solution
The equation of a circle is given by (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius.
Given the center of the circle is (-3, -5) and the radius is 4, we substitute these values into the equation.
This gives us (x - (-3))² + (y - (-5))² = 4², which simplifies to (x + 3)² + (y + 5)² = 16.
So, the correct answer is D. (x + 3)² + (y + 5)² = 16.
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