The points ​(-4​,-4​) and ​(3​,6​) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.I can get the equation down tosqrt 149 now my text book says the next step is to evaluate the square root then divide by 2.... But this particular square root does not break down. please help

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
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The points ​(-4​,-4​) and ​(3​,6​) are the endpoints of the diameter of a circle. Find the length of the radius of the circle.
I can get the equation down to
sqrt 149

now my text book says the next step is to evaluate the square root then divide by 2.... But this particular square root does not break down. please help

Expert Solution
Step 1

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

Given points are (x1,y1) = (-4​,-4​) and (x2,y2) = (3​,6​)

Plugging the values in the formula,

Hence the diameter of the circle is 12.2 units.

 

Therefore the radius is given by 12.2/2 = 6.1 units.

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