Question

Find the equation of the circle whose center and radius are given.
center (7.-3), radius = 7

Answer 1

(x - 7)² + (y + 3)² = 7

Explanation:

The equation of a circle is denoted by:
`(x -x_1)^2+(y-y_1)^2=r^2`, where
`(x_1,y_1)` is the centre and r is the radius.

Here, the centre is (7, -3), which means
`x_1=7` and
`y_1=-3`. The radius is r = √7. Plug these values into the formula:

`(x -x_1)^2+(y-y_1)^2=r^2`

`(x -7)^2+(y-(-3))^2=(√(7)) ^2`

`(x -7)^2+(y+3)^2=7`

Thus, the answer is (x - 7)² + (y + 3)² = 7.

~ an aesthetics lover