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max2010maxim [7]
2 years ago
15

An equation of a circle is x^2 - 8x + 16 +y^2 + 10y + 25 = 81

Mathematics
1 answer:
sineoko [7]2 years ago
7 0

Answer:

<h2>the radius: r = 9</h2><h2>the center: (4, -5)</h2>

Step-by-step explanation:

<u>The equation of a circle:</u>

<h2>(x - a)² + (y - b)² = r²</h2>

(a, b) - the center of a circle

r - the radius of a circle

x² - 8x + 16 + y² + 10y + 25 = 81

(x² - 2(x)(4) + 4²) + (y² + 2(y)(5) + 5²) = 81

<em>use: (a - b)² = a² - 2ab + b² and (a + b)² = a² - 2ab + b²</em>

(x - 4)² + (y + 5)² = 9²

Therefore

the radius: r = 9

the center: (4, -5)

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