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What is the radius of a circle whose equation is x2 + y2 – 10x + 6y + 18 = 0? units

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2 votes

Answer:15

Explanation:

User Toofly
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6 votes

Answer: The radius of the given circle is 4 units.

Step-by-step explanation: We are given to find the radius of the circle with the following equation :


x^2+y^2-10x+6y+18=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

We know that

the standard equation of a circle with center at the point (h, k) and radius r units is given by


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

From equation (i), we have


x^2+y^2-10x+6y+18=0\\\\\Rightarrow (x^2-10x+25)+(y^2+6y+9)-25-9+18=0\\\\\Rightarrow (x-5)^2+(y+3)^2-16=0\\\\\Rightarrow (x-5)^2+(y-(-3))^2=4^2.

Comparing it with the standard equation, the radius of the circle is given by


r=4.

Thus, the radius of the given circle is 4 units.

User Assafs
by
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