The equation of a circle is given below.
(x - 5)² + (y + 2)² =81/4
What is its center?
What is its radius?
If necessary, round your answer to two decimal places.
units

Respuesta :

Answer:

Emily, use the circle formula to solve this (x−a)^2 + (y−b)^2 = r^2

Step-by-step explanation:

where  a  and b are the center off sets in the x and y directions , repspectively.  

(x - 5)² + (y + 2)² =81/4

So you now know,  the center is at   (x,y) = ( 5, 2)

and the radius is   [tex]\sqrt{\frac{81}{4} }[/tex]  ,  why is is square rooted ?  you ask.

because in our formula above it's   r^2  .. so we need to square root it to find it's value.

[tex]\frac{\sqrt{81} }{\sqrt{4} }[/tex]  =  [tex]\frac{9}{2}[/tex]  =  4.5  rounded to two decimals    4.50 but not necessary