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The equation $(x - 7)^2 + (y + 13)^2 = 12$ represents a circle. What is its radius?

2 Answers

12 votes

Answer: 2 sqrt 3

Explanation:

User Valentin Galea
by
8.7k points
7 votes

Answer:

2√3

Explanation:

The standard equation of a circle is expressed as;

(x-a)²+(y-b)² = r² where;

(a, b) is the center of the circle

r is the radius of the circle

Given the equation (x - 7)^2 + (y + 13)^2 = 12

On comparing;

r² = 12

Take the square root of both sides

√r² = √12

r = √12

r = √4*3

r = 2√3

Hence the radius of the circle is 2√3

User Zxgear
by
8.9k points

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