SOLUTION: Find the equation of a circle with radius 5 and centered at (3,-1). a. {{{x^2+y^2-9x+2y-15=0}}} b. {{{x^2+y^2-6x+2y+15=0}}} c. {{{x^2+y^2-6x+2y-15=0}}} d. {{{x^2+y^2+6x-2y+15

Question 146344: Find the equation of a circle with radius 5 and centered at (3,-1).
a.
b.
c.
d. x^2+y^2+6x-2y+15=0}}
e. nota
i have no idea where to start ... thank you for your help in advance

Answer by aswathytony(47) (Show Source): You can put this solution on YOUR website!
equation of circle with centre (h,k) and radius r is ( x -h)^2 +(y-k)^2= r^2.
here centre (h,k) = (3, -1) , r =5.
substituting these values in the equation we get,
(x - 3)^2 + (y - (-1))^2 = 5^2
(x-3)^2 + ( y + 1)^2 = 25
x^2 -6x +9 + y^2 + 2y + 1 =25
x^2 + y^2 - 6x +2y+ 9+1 - 25 =0
x^2 + y^2 - 6x + 2y -15 = 0
RELATED QUESTIONS
find the center and radius given the following equation of a circle... (answered by dabanfield)

Find the center and radius of the circle {{{... (answered by richwmiller)

Find the center and radius of the circle... (answered by ewatrrr)

Find the center and radius of the circle:... (answered by stanbon)

The graph of a circle describes y as a function of x. True False Which of these... (answered by Edwin McCravy)

Write the equation of a circle in standard form, then find the center and radius of the... (answered by meetkisai)

A circle is represented by the equation below: (x + 2)2 + (y - 4)2 = 225 Which... (answered by fcabanski)

find the circle and radius of circle given equation... (answered by lynnlo)

Question: Find the center and radius of x^2+y^2-6x-2y-6=0 Possible Answers: (A) none (answered by Fermat)