Find the equation of the circle with centre at $(4,5)$ and radius 3 units. (a) $x^2+y^2-8x-10y+32=0$ (b) $x^2+y^2-6x+2y-6=0$ (c) $x^2+y^2-8x-6y=0$ (d) $x^2+y^2+8x-10y=0$

Find the equation of the circle with centre at (4,5) and radius 3 units. (a) x²+y²-8x-10y+32=0 (b) x²+y²-6x+2y

Question 37 of 47

(4,5)

(a)

x^2+y^2-8x-10y+32=0

(b)

x^2+y^2-6x+2y-6=0

(c)

x^2+y^2-8x-6y=0

(d)

x^2+y^2+8x-10y=0

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The circle with centre $(4,5)$ and radius $3$ is $x^2+y^2-8x-10y+32=0$ .

The standard form of a circle with centre $(h,k)$ and radius $r$ is:

$(x-h)^2+(y-k)^2=r^2.$

Substitute $h=4,\ k=5,\ r=3$ :

$(x-4)^2+(y-5)^2=3^2=9.$

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