Question

Write the standard equation of the circle with center (−5, 2) and radius 1.3.

(x+5)2+(y−2)2=1.69


(x−5)2+(y+2)2=1.69


(x+5)2+(y−2)2=16.9


(x−5)2+(y+2)2=16.9

Answer 1

(x + 5)² + (y - 2)² = 1.69

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) = (- 5, 2) and r = 1.3, thus

(x - (- 5))² + (y - 2)² = 1.3², that is

(x + 5)² + (y - 2)² = 1.69