Question

Mateo is constructing an equilateral triangle inscribed in a circle with center P. He draws the diameter of the circle through center P using a straight edge. What is his next step?
A. Use a straight edge and compass to find lines perpendicular to the endpoints of the diameter.
B. Open his compass to a width equivalent to the radius of the circle.
C. Open his compass to a width equivalent to the diameter of the circle.
D. Use a straight edge and compass to find the perpendicular bisector of the diameter.

Answer 1

Let,
diameter = segment AB through center P.
Set the compass to the radius PB, at B and draw two little arcs that intersect the circumference of the circle at C and D.
Then Triangle ACD will be an equilateral triangle inscribed in the given circle.
Hence,
The right option is :
B. Open his compass to a width equivalent to the radius of the circle.