Question

Geometry Question
Layla is using her compass and straightedge to complete a construction of a polygon inscribed in a circle. Which polygon is she in the process of constructing?

A circle is drawn with two arc markings above and below the diameter.
An equilateral triangle
A square
A regular pentagon
A regular hexagon

Answer 1

@KAKES1967 @mathmate @thomaster

Answer 2

@gigi1103

Answer 3

what do u think she will get on joining the points 1 - 2 - 3 -4 :)

Answer 4

A regular Hexagon?

Answer 5

how many sides does the figure formed by joining the points 1,2,3,4 has?

Answer 6

4

Answer 7

it would be a regular pentagon then!

Answer 8

nd u can see that -

in this figure OA =OB=OC=OD=radius of circle =r lets say its r cm ok :)
when u apply pythagorus theorem to triangle AOB u get-
AO^2 + BO^2 = AB^2
r^2 + r^2=AB^2
2r^2=AB^2
\[AB=r \sqrt{2}\]

similarly when u find BC, CD and DA you will find that they all are equal to AB :)

so this figure has 4 equal sides and square is the only figure given in the options which has 4 sides so square is the answer