In Example 2, change (2, 1) to (2, 1). Data from Example 2 Find the equation of
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In Example 2, change (2, 1) to (−2, 1).
Data from Example 2
Find the equation of the circle with center at (2, 1) and that passes through (4,−6). In Eq. (21.11), we can determine the equation of this circle if we can find h, k, and r. From the given information, the center is (2, 1), which means h = 2 and k = 1. To find r, we use the fact that all points on the circle must satisfy the equation of the circle. The point (4,−6) must satisfy Eq. (21.11), with h = 2 and k = 1. This means (4 − 2)2 + (−6 − 1)2 = r2 or r2 = 53. Therefore, the equation of the circle is
(x − 2)2 + (y − 1)2 = 53
This circle is shown in Fig. 21.32.
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Related Book For
Basic Technical Mathematics
ISBN: 9780137529896
12th Edition
Authors: Allyn J. Washington, Richard Evans
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