Question

Write the equation of the

circle given: ..
1) center (1,-4), radius: 3
2) center (0,2), dianuter= 10
3) center (-2,5), radius = 5
4) center (a, b), radies : 2

Answer 1

`(x-h)^(2)   + (y-k)^(2)  = r^(2)` is the equation of the circle.

Explanation:

The general equation of the circle with center (h,k) and radius r is given as:

`(x-h)^(2)   + (y-k)^(2)  = r^(2)`

1) center (1,-4), radius: 3

Equation of the circle is:
`(x-1)^(2)   + (y+4)^(2)  = 3^(2)`

2) center (0,2), diameter= 10 , so radius = d/2 = 5

Equation of the circle is:
`(x-0)^(2)   + (y-2)^(2)  = 5^(2)`

3) center (-2,5), radius = 5

Equation of the circle is:
`(x+2)^(2)   + (y-5)^(2)  = 5^(2)`

4) center (a, b), radies : 2

Equation of the circle is:
`(x-a)^(2)   + (y-b)^(2)  = 2^(2)`