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Question

If the endpoints of the diameter of a circle are (3, 5) and (-1, -3), find the radius of the cirlcle.

A
45 units
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B
5 units
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C
25 units
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D
55 units
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Solution

The correct option is C 25 units
Given: Endpoints of the diameter are (3, 5) and (-1, -3).

The distance between two points (x1,y1) and (x2,y2) is (x2x1)2+(y2y1)2.

So, diameter = (13)2+(35)2

Diameter = (4)2+(8)2

Diameter = 16+64

Diameter = 80

Diameter = 45 units
Hence, radius = 25 units

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