Question

The equation of a circle with centre at (1, 0) and circumference 10π units is ______.

Options

• x² + y² – 2x + 24 = 0

• x² + y² – x – 25 = 0

• x² + y² – 2x – 24 = 0

• x² + y² + 2x + 24 = 0

Answer 1

The equation of a circle with centre at (1, 0) and circumference 10π units is x² + y² – 2x – 24 = 0.

Explanation:

Centre (1, 0), circumference = 10π ...(given)

∴ 2πr = 10π `\implies` r = 5

So, equation of circle is (x – 1)² + (y – 0)² = 25

`\implies` x² + y² – 2x – 24 = 0