To discover the radius the the circle v equation x2 + y2 – 14x + 10y = 250, transform the equation into vertex-form (x - h)² + (y-k)² = r². Transform by perfect the square for x² - 14x and y² + 10y.

You are watching: What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250?

Complete the square by dividing each hatchet -14x and 10y in two. Climate square each.

-14/2 = -7 and -7² = 49

10/2 = 5 and also 5² = 25

The equation i do not care x² - 14x + 49 + y² + 10y + 25 = 250 + 49 + 25.

We leveling the equation right into (x-7)² + (y + 5)² = 324.

324 is the worth of radius squared. Take it the square source to find the radius.

√324 = 18

The radius is 18 units.



Answer from: lauretta

Option (d) is correct.

Radius of offered equation is 18 units.

Step-by-step explanation:

Given : The equation the circle together

We have to discover the radius of provided circle.

Consider the provided equation of circle

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

*

Rewriting in traditional form, we have,

Grouping x and also y variables, we have,

*

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

*

Simplify, us have,

*

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

*

Simplify, us have,

*

Thus, standard type is

*

Thus, radius of provided equation is 18 units.



Answer from: johnzman10
First, we have actually to readjust the general equation in to typical equation:
*

*

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