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Find the equation of the circle with the given characteristics.

Center: (-2, 35)
Radius: 12

The solution is:

User Inafalcao
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1 Answer

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Final answer:

The equation of the circle with center (-2, 35) and radius 12 is given by (x + 2)² + (y - 35)² = 144.

Step-by-step explanation:

To find the equation of the circle with center (-2, 35) and radius 12, we use the standard form of the equation for a circle which is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is its radius.

Substituting our given values, the equation of the circle becomes:

(x + 2)² + (y - 35)² = 12²

Simplifying, the equation of the circle is:

(x + 2)² + (y - 35)² = 144

This is the standard form equation of the circle with the given center (-2, 35) and radius 12.

User Simplesthing
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