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slavikrds [6]
3 years ago
5

Write the equation of the circle that is centered at (- 13, - 2) and has a diameter of 24^ *

Mathematics
1 answer:
lions [1.4K]3 years ago
4 0

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • Centre = (-13,-2)
  • Diameter = 24

And we need to find out the equation of the circle. Since the diameter is 24 u therefore it's radius will be 12 u . Now we can use the Standard equation of circle to find out the equation .

<u>Standard</u><u> equation</u><u> of</u><u> circle</u><u> </u><u>:</u><u>-</u><u> </u>

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

  • Where (h,k) is centre and r is radius.

\implies (x-(-13))^2+(y-(-2))^2 = 12^2 \\\\\implies ( x+13)^2+(y+2)^2=144 \\\\\implies x^2+169+26x+y^2+4+4y=144\\\\\implies x^2+y^2+26x+4y+ 29 =0

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<em>Comment on the question</em>

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