Question

Write the equation of the circle given the following:

Center: (-5, 7)

Circumference: 12

Answer 1

Answer:

A / Q : -

Center of Circle is ( -5 , 7 )

i.e Circle is in 2nd Quadrant .

To Find Radius of the Circle : -

As We Know ;

Circumference of Circle = 2π × r

i.e , 2 π × r = 12

=> r = 6 / π

For Equation of the Circle : -

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

Where ( h, k ) is the center and r is the radius.

Therefore ,

( x - { - 5 } ) ^2 + ( y - 7 ) ^2 = 6 / π

( x + 5 ) ^2 + ( y - 7 ) ^2 = 6 / π