Question

Does the point (_2.5, 3.5) lie inside,outside or on the circle x^2+y^2=25 ?

Answer 1

The point is inside the circel

Explanation:

`x^2+y^2=25|-x^2|sqrt()`
`y=sqrt(25-x^2)`
`y=sqrt(r^2-x^2)`
`r^2=25|sqrt()`
`r=5`

`p_1=(2.5,3.5)`
`sqrt(2.5^2+3.5^2)~~4.301<5`
The point is inside the circel

graph{(x^2+y^2-25)((y-3.5)^2-0.01+(x-2.5)^2)=0 [-11.1, 11.09, -5.55, 5.55]}