What is the length of the chord?
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?
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?
The tangent line to the semicircle has a length of 5 cm. What is the area of the rectangle?
A regular hexagon with side length 2 has semicircles constructed in its interior of each side. What is the shaded area inside the hexagon not covered by the semicircles?
