Question

Find the equation of the circle with center at (3,-2) and radius of 3.

Answer 1

Answer:

The equation of the circle is (x - 3)² + (y + 2)² = 9

Step-by-step explanation:

The form of the equation of a circle is (x - h)² + (y - k)² = r², where

• h is the x-coordinate center of the circle
• k is the y-coordinate of the center of the circle

• r is the radius of the circle

∵ The center of a circle is (3, -2)

∴ x-coordinate of the center is 3

∴ y-coordinate of the center is -2

∴ h = 3 and k = -2

∵ The radius of the circle is 3

∴ r = 3

→ Substitute them in the form of the equation above

∵ (x - 3)² + (y - -2)² = (3)²

∴ (x - 3)² + (y + 2)² = 9

∴ The equation of the circle is (x - 3)² + (y + 2)² = 9