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Bingel [31]
3 years ago
10

Given the center of a circle as ( 1, -1 ) and a point on the circle at (4 , 2). Write the equation of the circle. *

Mathematics
1 answer:
Andru [333]3 years ago
7 0

Answer:

(x − 1)² + (y + 1)² = 18

Step-by-step explanation:

Equation of a circle is:

(x − h)² + (y − k)² = r²

where (h, k) is the center and r is the radius.

The center is (1, -1), so plugging that in:

(x − 1)² + (y + 1)² = r²

A point on the circle is (4, 2), so plugging that in:

(4 − 1)² + (2 + 1)² = r²

18 = r²

Therefore, the equation is:

(x − 1)² + (y + 1)² = 18

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