circle

Find the equation of the circle whose center (0,13) and the area = 25pi.

 

Expert Answers

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The area of a circle is pi*r^2. As the area of the circle to be found is 25pi.

pi*r^2 = 25*pi

=> r = 5

The equation of a circle with center (0, 13) and radius 5 is:

(x - 0)^2 + (y - 13)^2 = 5^2

=> x^2 + y^2 + 169 - 26y = 25

=> x^2 + y^2 - 26y + 144 = 0

The equation of the circle is x^2 + y^2 - 26y + 144 = 0

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