Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Join our platform to connect with experts ready to provide precise answers to your questions in various areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.


What is the radius of a circle whose equation is -10xt6y+18-0?
O 2 units
O 4 units
O8 units
O 16 units


Sagot :

Answer:

Radius, r = 4 units

Step-by-step explanation:

The equation of circle is given by :

[tex]x^2+y^2-10x+6y+18=0[/tex]

We need to find the radius of the circle.

The general equation of a circle is given by :

[tex](x-h)^2+(y-k)^2=r^2[/tex] ....(1)

We can rearrange the above equation in terms of the given equation as follows :

[tex]x^2+y^2-10x+6y+18-25-9+25+9=0\\\\(x^2-10x+25)+(y^2+6y+9)+18-25-9=0\\\\(x-5)^2+(y-(-3))^2=(4)^2[/tex]

On comparing the above equation with equation (1)

h = 5, k = -3 and r = 4

So, the radius of the circle is 4 units.