Question

Write the standard form of the equation of the circle with the given characteristics.

Answer 1

Circle Equations

Write the standard form of the equation of the circle with the given characteristics.

Center: (0, 0); Radius: 2

To determine the equation of a circle, use the standard form of a circle (x - h)² + (y - k)² = r² where,

• (h, k) is the center; and
• r is the radius

Substitute the values of the center and radius to the standard form.

Given:

(0, 0) - center

2 - radius

• (x - h)² + (y - k)² = 2²
• (x - 0)² + (y - 0)² = 4
• x² + y² = 4

Answer:

• The equation of the circle is x² + y² = 4.

Wxndy~~