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GREYUIT [131]
2 years ago
13

Find the equation of circle (5,1) diameter 4 square root 5​

Mathematics
1 answer:
stepladder [879]2 years ago
6 0

Answer:

(x-5)^2+(y-1)^2=20

Step-by-step explanation:

<u>Equation of a circle</u>

(x-a)^2+(y-b)^2=r^2

(where (a, b) is the center and r is the radius)

Given:

  • center = (5, 1)
  • diameter = 4√5

Diameter = 2r (where r is the radius)

⇒ r = 4√5 ÷ 2 = 2√5

Substituting these values into the equation:

\implies (x-5)^2+(y-1)^2=(2\sqrt{5})^2

\implies (x-5)^2+(y-1)^2=20

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