Question

You are given a circle B whose center is (4, 3) and a point on (10, 3) and another circle C whose center is (-3, -5) and a point on that circle is (1,-5). What is the ratio of circle B to circle C?

Answer 1

`3:2" or " 3/2`

Explanation:

`"we require to calculate the radii of the circles and compare "`

`"the radius is the distance from the centre to the point "`
`"on the circle"`

`" centre of B "=(4,3)" and point is "=(10,3)`

`"since the y-coordinates are both 3, then the radius is "`
`"the difference in the x-coordinates"`

`rArr" radius of B "=10-4=6`

`"centre of C " =(-3,-5)" and point is "=(1,-5)`

`"y-coordinates are both - 5"`

`rArr"radius of C" =1-(-3)=4`

#"ratio "=(color(red)"radius_B")/(color(red)"radius_C") =6/4=3/2=3:2#