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

Answer:

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

Step-by-step 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: $(x-a)^{2}   + (y-b)^{2}  = 2^{2}$