Problem 6
Is it possible for a) a rectangle inscribed in a circle to have a diameter for a side? Explain. b) a rectangle circumscribed about a circle to be a square? Explain.
Problem 20
A quadrilateral \(R S T V\) is circumscribed about a circle so that its tangent sides are at the endpoints of two intersecting diameters. a) What type of quadrilateral is \(R S T V ?\) b) If the diameters are also perpendicular, what type of quadrilateral is \(R S T V ?\)
Problem 24
State the measure of the angle formed by the minute hand and the hour hand of a clock when the time is a) 1: 30 P.M. b) 2: 20 A.M.
Problem 25
State the measure of the angle formed by the hands of the clock at a) 6: 30 P.M. b) 5: 40 A.M.
Problem 26
Five points are equally spaced on a circle. A five-pointed star (pentagram) is formed by joining nonconsecutive points two at a time. What is the degree measure of an arc determined by two consecutive points?
Problem 39
Construct two externally tangent circles where the radius length of one circle is twice the radius length of the other circle.