Math Problem Statement

Write the standard form of the equation and the general form of the equation of the circle with radius r and center​ (h,k). Then graph the circle. requals5​;    ​(h,k)equalsleft parenthesis negative 2 comma 1 right parenthesis

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Equations of Circles

Formulas

Standard form of a circle's equation: (x - h)^2 + (y - k)^2 = r^2
General form of a circle's equation: x^2 + y^2 + Dx + Ey + F = 0

Theorems

Pythagorean Theorem (used to derive the distance formula for radius)

Suitable Grade Level

Grades 9-10