Question

Please can you answer this question and show step by step working out

Answer 1

The radius of the circle is 6.5 units. This means that any point (x, y) on the circle is 6.5 units away from the center of the circle, which is the origin (0,0).

The equation of a circle in the form
`\(x^2 + y^2 = r^2\)` represents a circle centered at the origin (0,0) with a radius r. In your given equation
`\(x^2 + y^2 = 42.25\)`, we can identify the radius (r).

`\[ r^2 = 42.25 \]`

Now, take the square root of both sides to find r:

`\[ r = √(42.25) \]`

r = 6.5

Therefore, the radius of the circle is 6.5 units. This means that any point (x, y) on the circle is 6.5 units away from the center of the circle, which is the origin (0,0).