8. The circle below is centered at the point (5,-2) and has a radius of length 4. Write the equation for the circle.
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Answer:
(x - 5)² + (y + 2)² = 16
Step-by-step explanation:
Equation of a circle formula: (x - a)² + (y - b)² = r²
where (a, b) is the center of the circle and r is the radius
Given, center = (5, -2) and radius = 4
Substitute this information in the equation of a circle formula.
⇒ Equation of the circle: (x - 5)² + (y + 2)² = 16