Question

A circle has a radius of \sqrt{45} 45 ​ square root of, 45, end square root units and is centered at (-2.4,-4.8)(−2.4,−4.8)left parenthesis, minus, 2, point, 4, comma, minus, 4, point, 8, right parenthesis.
What is the equation of this circle?

Answer 1

Answer:

• (x + 2.4)² + (y + 4.8)² = 45

Step-by-step explanation:

Circle equation:

• (x - h)² + (y - k)² = r², where (h, k) is the center, r - radius

Substitute the values to get the equation:

• (x - (- 2.4))² + (y - (-4.8))² = (√45)²
• (x + 2.4)² + (y + 4.8)² = 45