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?

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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?

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Answer 1 · 2017-05-23T09:49:48

$3:2" or " 3/2$

Explanation:

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

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

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

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

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

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

$"y-coordinates are both - 5"$

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

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

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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?

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