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dsp73
2 years ago
9

HELP DUE IN 15 MINS!

Mathematics
2 answers:
boyakko [2]2 years ago
8 0

Answer:

r = 2\sqrt{5}

(x - 3)^{2} + ( y - 2)^{2} = 20

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

r^{2} = {(3 - 5)^{2} + (2 + 2)^{2}  }

    =  (-2)^{2} + 4^{2}

    =  4 + 16 = 20

r = \sqrt{20 } = 2\sqrt{5}

Equation of circle:   (x - 3)^{2} + ( y - 2)^{2} = 20

Aleks [24]2 years ago
7 0

Answer:

Radius: 2\sqrt{5}

Equation of circle: (x-3)^2+(y-2)^2=20

Step-by-step explanation:

The radius of a circle is equal to the distance between the center of the circle and any point on the circle. Therefore, we have:

r=\sqrt{(5-3)^2+(2-(-2))^2},\\r=\sqrt{2^2+4^2},\\r=\sqrt{20}=\boxed{2\sqrt{5}}

The equation of a circle with radius r and center (h, k) is given by:

(x-h)^2+(y-k)^2=r^2.

What we know:

  • radius of 2\sqrt{5}
  • center at (3, 2)

Substituting known values, we get:

(x-3)^2+(y-3)^2=(2\sqrt{5})^2,\\\boxed{(x-3)^2+(y-2)^2=20}

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