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45 units and is centered at

A circle has a radius of


(-2.4, -4.8).


What is the equation of this circle?

1 Answer

4 votes

The correct question is:

A circle has a radius of 45 units and is centered at (-2.4, -4.8).

What is the equation of this circle?

Answer:

Equation of the circle is;

(x + 2.4)² + (y + 4.8)² = 2304

Explanation:

The standard equation of a circle is;

(x - a)² + (y - b)² = r²

where;

(a,b) is the center of the circle and r is the radius of the circle

Now, from the question, the circle is centered at (-2.4, -4.8) and the radius is 45

Thus, plugging those values into the standard form of equation of a circle, we have;

(x - (-2.4))² + (y - (-4.8))² = 48²

This gives;

(x + 2.4)² + (y + 4.8)² = 2304

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