Question

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

Answer 1

Step-by-step explanation:

Given :-

• 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 .

Standard equation of circle :-

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

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

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