# Geometry tasks

Given two circles intersecting at two points. the diameter of one circle is 36 cm, the distance between the centers of the circles is 25 cm. find the diameter of the second circle

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Butterfly

Answered on August 22, 2016 11:31

It's simple. To solve the problem, you need to remember that the diameter of the circle is two radii, that is, the radius of the circle multiplied by two. We know the diameter of the first circle - 36 cm. To find its radius, divide by 2. The radius of the first circle is 18. The distance between the centers of the circles is 25 cm, that is, it is the sum of the radii of the first and second circles. To find the diameter of the second circle, you need to know its radius. Subtract from 25 known to us the radius of the first circle: 25 - 18 = 7 cm. Now multiply it by two: 7 x 2 = 14. 14 cm - the diameter of the second circle.