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?
Triangle ABC is inscribed in a circle. Construct chord AD and let E be the intersection of chords AD and BC. If AB = AC = 12 and AE = 8, then what is the length of AD?
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).
If the star has an outside perimeter of 50, and the pentagon has a perimeter of 30, what is AB + BC + CD + DE + EA = ??
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?
A circle has chord PQ. Above the circle (and below it) is a circle tangent to the chord and the large circle. The two inscribed circles are also tangent to each other. The three circle’s centers are collinear. If PQ = 6, what is the area between the two smaller circles and the large circle, shaded in blue?
