Question

find the radius of the circle whose endpoints of the diameter are 3, - 5 and - 5, 1

Answer 1

Given,

The coordinates of the diameter of a circle are = (3,-5) and (-5,1)

To find,

The length of the radius of the given circle.

Solution,

First of all we need to calculate the length of the diameter of the given circle by the formula formula of distance between two points of the co-ordinate geometry.

Let two end points = A and B

And,

A = (3,-5) = X1,Y1

B = (-5,1) = X2,Y2

Length of AB = ✓(X2-X1)²+(Y2-Y1)² = ✓(-5-3)²+(1+5)² = ✓64+36 = ✓100 = 10 units

The length of radius = The length of diameter/2 = 10/2 = 5 units

Hence,the length of the radius of the given circle is 5 units.

Answer 2

Answer:

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