a line segment AB is of length 5cm draw a circle of radius 4 cm passing through A and - Maths - Circles

Question

a line segment AB is of length 5cm draw a circle of radius 4 cm
passing through A and B can you draw a circle of radius 2 cm
passing through A and B? give reasonin support of your answer

Manmeet Singh · Accepted Answer

Given below is a circle of radius 4 cm passing through points A
and B
<img alt="" width="189" height="155" src=
"https://s3mn%20mnimgs%20com/img/shared/discuss_editlive/4080826/2013_02_08_11_33_20/image9099283765612056629%20jpg">
We cannot draw a circle of radius 2 cm passing through points A
and B This is because if we draw a circle of radius 2 cm, the
diameter will be 4cm and diameter is the longest chord If the
circle passes through A and B, then the length of chord will be 5
cm which cannot be greater than the diameter
So, the circle is not possible

a line segment AB is of length 5cm. draw a circle of radius 4 cm passing through A and B. can you draw a circle of radius 2 cm passing through A and B? give reasonin support of your answer.