A circle has a radius of

37 units and is centered at (1.3, - 3,5). What is the equation of the circle?

If the radius is 37 units, the equation of the circle is

x² + y² - 2.6x + 7y - 1355.06 = 0

If the units is actually 3.7 units, then the equation becomes

x² + y² - 2.6x + 7y + 0.25 = 0

Step-by-step explanation:

The general equation of a circle is given as

(x - a) ² + (y-b) ² = r²

where a and are the center of the circle along the x and y axis respectively.

Hence a circle that has a radius of 37 units and is centered at (1.3, - 3,5) may be given as

(x - 1.3) ² + (y + 3.5) ² = 37²

x² - 2.6x + 1.69 + y² + 7y + 12.25 = 1369

x² + y² - 2.6x + 7y - 1355.06 = 0

If the units is actually 3.7 units,

x² + y² - 2.6x + 7y + 0.25 = 0