Question

A circle has the equation (x−4)2+(y−1)2=34.

What are the coordinates of the center and the length of the radius?

The center is at (4,1), and the radius is 34−−√ units.

The center is at (4,1), and the radius is 34 units.

The center is at (1,4), and the radius is 34 units.

The center is at (1,4), and the radius is 34−−√ units.

Answer 1

A

Explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x - 4)² + (y - 1)² = 34 ← is in standard form

with centre = (4, 1 ) and r² = 34 ⇒ r =
`√(34)` → A