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adelina 88 [10]
3 years ago
12

What is an equation of a circle whose center is (1,4) and diameter is 10?

Mathematics
1 answer:
nexus9112 [7]3 years ago
6 0

Answer:

x^{2}  - 2x + y^{2} - 8y = 8

Step-by-step explanation:

Standard form for a circle is:

(x - h)^{2} + (y - k)^{2}  = r^{2}      (h, k) is the center    r is the radius

(x - 1)^{2} + (y - 4)^{2}  = 5^{2} \\x^{2}  - 2x + 1 +y^{2} - 8y + 16 = 25\\x^{2}  - 2x + y^{2} - 8y = 8x^{2}  - 2x + y^{2} - 8y = 8

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