Which construction uses the compass for only one step in addition to drawing the circle itself?
a. an equilateral triangle inscribed in a circle
b. a square inscribed in a circle
c. a regular hexagon inscribed in a circle
d. a diameter of a circle

Option D is correct.

Step-by-step explanation:

Given the constriction we have to choose the construction which uses the compass for only one step in addition to drawing the circle itself.

Option A: an equilateral triangle inscribed in a circle

Above construction uses three steps in addition to drawing the circle itself as equilateral triangle has 3 sides.

∴ not a correct option

Option B:  a square inscribed in a circle

Above construction uses 4 steps in addition to drawing the circle itself as square has 4 sides.

∴ not a correct option

Option C: a regular hexagon inscribed in a circle

Above construction uses 6 steps in addition to drawing the circle itself as regular hexagon  has 6 sides.

∴ not a correct option

Option D: a diameter of a circle

Above construction uses one step in addition to drawing the circle itself  

which is the correct option.

yes the data was not prsented

step-by-step explanation:

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft