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?

May 23, 2017

$3 : 2 \text{ or } \frac{3}{2}$

Explanation:

$\text{we require to calculate the radii of the circles and compare }$

$\text{the radius is the distance from the centre to the point }$
$\text{on the circle}$

$\text{ centre of B "=(4,3)" and point is } = \left(10 , 3\right)$

$\text{since the y-coordinates are both 3, then the radius is }$
$\text{the difference in the x-coordinates}$

$\Rightarrow \text{ radius of B } = 10 - 4 = 6$

$\text{centre of C " =(-3,-5)" and point is } = \left(1 , - 5\right)$

$\text{y-coordinates are both - 5}$

$\Rightarrow \text{radius of C} = 1 - \left(- 3\right) = 4$

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