Question

The end points of diameter of a circle are (2,4) and (-3,-1). The radius of the circle is

Answer 1

Answer: end point of diameters (2,4) and(-3,-1)

Using distance formula

D = {(-3-2)^2 + (-1-4)^2}^1/2

D = {25 + 25}^1/2

D= 5×(2)^1/2

Radius = 5/(2)^1/2

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Distance formula:-

The distance between two points, (x1,y1) and (x2,y2) is given by;

d = √{(x2-x1)^2 + (y2 - y1)^2}

Here,

The end points of the diameter are (2,4) and (-3,-1).

Hence,

The length of diameter is given by;

=> d = √{(-3-2)^2 + (-1-4)^2}

=> d = √{(-5)^2 + (-5)^2}

=> d = √{25 + 25}

=> d = √50

=> d = 5√2 units

Also, we know that;

radius = diameter/2

=> r = d/2

=> r = 5√2/2 units

Or

=> r = 5/√2 units

Hence, the radius of the given circle is :

5√2/2 units.