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

$3 : 2 or \frac{3}{2}$ $3:2" or " 3/2$

Explanation:

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

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

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

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

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

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

$y-coordinates are both - 5$ $"y-coordinates are both - 5"$

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

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

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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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