What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250? a) 9 units b) 12 units c) 15 units d) 18 units

Option (d) is correct.

Radius of given equation is 18 units.

Step-by-step explanation:

Given : The equation of circle as

We have to find the radius of given circle.

Consider the given equation of circle

The standard equation of circle with center (h,k) and radius r is given as

Rewriting in standard form, we have,

Grouping x and y variables, we have,

Convert x terms to perfect square term by adding 49 both side, we have,

Simplify, we have,

Convert y  terms to perfect square term by adding 25 both side, we have,

Simplify, we have,

Thus, standard form is

Thus, radius of given equation is 18 units.

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step-by-step explanation: