The equation of the circle with center (-3, 4) and radius 7 units is ( x + 3 )² + ( y - 4 )² = 49.
<h3>What is the equation of the circle?</h3>
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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