Question

Find the equation of the circle center (-3, 4) with radius 7 units.

Answer 1

The equation of the circle with center (-3, 4) and radius 7 units is ( x + 3 )² + ( y - 4 )² = 49.

What is the equation of the circle?

The standard form of the equation of a circle is
x² + y² = r²

The center is represented by the horizontal (h) and vertical (k) translations. Hence,

( x - h )² + ( y - k )² = r²

Given the data in the question;

Circle center :(-3, 4)

• h = -3
• k = 4
• Radius r = 7 units
• Equation of circle = ?

Plug the given values into the equation above.

( x - h )² + ( y - k )² = r²

( x - (-3) )² + ( y - (4) )² = (7)²

( x + 3 )² + ( y - 4 )² = 49

Therefore, the equation of the circle with center (-3, 4) and radius 7 units is ( x + 3 )² + ( y - 4 )² = 49.

Learn more about equation of circle here: brainly.com/question/23799314

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