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max2010maxim [7]
2 years ago
9

What is the diameter of a circle with the equation x2 + y2 - 8x + 2y - 8 = 0?

Mathematics
2 answers:
Zinaida [17]2 years ago
7 0

Answer:

50

Step-by-step explanation:

x2 + y2 - 8x + 2y - 8 = 0

first we find the radius with the equation.

write the equation in standard form.

x2 + y2 - 8x + 2y - 8 = 0

(x-4)^2 + (y+1)^2 = 25

(x-h)² + (y-k)² = r²

this means 25 is the radius and the diameter is two times the radius so,

25 x 2 = 50

bazaltina [42]2 years ago
6 0

Answer:

Diameter is 10 units

Step-by-step explanation:

<u>Convert standard form to general form by completing the square:</u>

x^2+y^2-8x+2y-8=0

x^2-8x+y^2+2y-8=0

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

x^2-8x+16+y^2+2y+1=8+16+1

(x-4)^2+(y+1)^2=25

(x-4)^2+(y+1)^2=5^2

So, since the radius of the circle is 5 units, then the diameter is twice the radius, which is 10 units.

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