Math Problem Statement

Center at the origin and passes through a point (-3,4).

Solution

To find the equation of a circle centered at the origin and passing through the point (3,4)(-3, 4), we can use the standard equation of a circle:

x2+y2=r2x^2 + y^2 = r^2

Here, (h,k)(h, k) is the center of the circle, and rr is the radius. Since the circle is centered at the origin, ((h, k) = (0,

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Math Problem Analysis

Mathematical Concepts

Geometry
Circle equations

Formulas

Equation of a circle: (x - h)^2 + (y - k)^2 = r^2

Theorems

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Suitable Grade Level

Grades 9-12