Question

Write the standard equation for the circle.

center (10, –6), r = 6

Question options:

(x – 10)2 + (y + 6)2 = 36

(x + 10)2 + (y – 6)2 = 6

(x + 6)2 + (y – 10)2 = 36

(x – 10)2 + (y + 6)2 = 6

Answer 1

the first one

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

here (h, k) = (10, - 6) and r = 6, hence

(x - 10)² + (y - (- 6))² = 6², that is

(x - 10)² + (y + 6)² = 36