Math Problem Statement

Graph x²+y²=16

Solution

Here's the graph of the equation x2+y2=16x^2 + y^2 = 16. The circle is centered at the origin and has a radius of 4.

Do you want more details on this topic or have any questions?

Here are 8 related questions you might find interesting:

  1. How would the graph change if the equation were x2+y2=25x^2 + y^2 = 25?
  2. What is the equation of a circle centered at (3,2)(3, -2) with a radius of 5?
  3. How do you find the radius of a circle given its equation in general form?
  4. Can you derive the equation of a circle given its center and a point on the circumference?
  5. How does the equation change if the circle is translated by a vector?
  6. What is the distance formula, and how is it related to the equation of a circle?
  7. How do you find the tangent line to a circle at a given point?
  8. What are the parametric equations for a circle of radius rr?

Tip: When graphing circles, always check if the equation is in the standard form (xh)2+(yk)2=r2(x - h)^2 + (y - k)^2 = r^2 to identify the center and radius easily.

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Math Problem Analysis

Mathematical Concepts

Circle
Equation of a Circle
Coordinate Geometry

Formulas

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

Theorems

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Suitable Grade Level

Grades 9-12