Question

Determine the equation of the following circle with centre at: the origin and radius of 11 units show all your steps​

Answer 1

• x² + y² = 121

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Use the standard equation of a circle:

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

Since the center is at the origin, h = 0 and k = 0.

The radius is 11 units, so r = 11.

Plugging in these values, you get:

• (x - 0)² + (y - 0)² = 11²

Simplifying, the equation of the circle is:

• x² + y² = 121