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2 years ago

Find the center and radius of this circle x^2+y^2-6x-10y+30=0

Mathematics

1 answer:

Vsevolod [243]2 years ago

5 0

Answer:

The circle's centre is at the position (3, 5), and it has a radius of 2

Step-by-step explanation:

First let's put it in a useful format by completing the squares:

x² + y² - 6x - 10y + 30 = 0

x² - 6x + y² - 10y = -30

x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25

(x - 3)² + (y - 5)² = 4

This tells us that the centre position is (3, 5) and the radius is √4, or 2

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3 years ago

Taiga wants to make a circular loop that she can twirl around her body for exercise. He will use a tube that is 2.5 meters long.

Travka [436]

Answer: 0.796 meters

Step-by-step explanation:

Circumference of circle = $2\pi r$ , where r=radius

Here, Circumference of loop = 2.5 meters

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$\Rightarrow\ r=\dfrac{2.5}{2\pi}$

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