You are given a circle with diameter AB and a point C. You are to construct a perpendicular CD to the diameter AB using only a straight edge (a ruler without markings).
A circle has diameter AB. A line starts at A and zig-zags exactly 4 times between the diameter and the circumference until it ends at B, as shown below.
If each of the angles the line makes with the diameter has the same measure α, what is α equal to?
A circle has two non-intersecting chords AB and CD. Chord RS intersects chord AB at P and CD at Q. If AP = 12, BP = 20, CQ = 10, DQ = 24, and PQ = 14, what is the length of chord RS?
Construct a circle of radius 1. From a point on the circle, construct another circle of radius 1. Inscribe a square where the two circles overlap. What is the area of the square?
If in the following image AC is the diameter of the circle where AB = 4cm and BC = 1cm. Find the x?
Lines AB and CD intersect in the interior of a circle, as shown below. If arc AC measures 80 degrees, and arc DB measures 140 degrees, what is the measure of angle DXB?