In the same coordinate system , sketch the graphs of the two circles with equations x 2 + y 2 − 4 x + 2 y − 20 = 0 and x 2 + y 2 − 4 x + 2 y − 31 = 0 and find the area of the region bounded by the two circles.
In the same coordinate system , sketch the graphs of the two circles with equations x 2 + y 2 − 4 x + 2 y − 20 = 0 and x 2 + y 2 − 4 x + 2 y − 31 = 0 and find the area of the region bounded by the two circles.
Solution Summary: The author explains how the given equations of two circles in the same coordinate plane could be changed to standard form of circle by completing the squares.
In the same coordinate system, sketch the graphs of the two circles with equations
x
2
+
y
2
−
4
x
+
2
y
−
20
=
0
and
x
2
+
y
2
−
4
x
+
2
y
−
31
=
0
and find the area of the region bounded by the two circles.
System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Fundamental Theorem of Calculus 1 | Geometric Idea + Chain Rule Example; Author: Dr. Trefor Bazett;https://www.youtube.com/watch?v=hAfpl8jLFOs;License: Standard YouTube License, CC-BY