Compute the areas of the following figures. Figure II is a trapezium and figure III a kite. The arcs of the circles that bound the figures IV and V are half- and quarter circles.
All corners of this regular octagon lie on a circle with radius cm.
Compute the area of the white part that lies between the circle and the octagon.
Somebody makes a three legged stool with a seat shaped as drawn here. This shape consists of a regular hexagon to three sides of which a segment of the circle through the corners of the hexagon has been added.
Compute both the circumference and the area of the seat.
This symmetrical container is exactly half full with water. The length of the container is meters. The front and the rear are perpendicular to the bottom.
What is the depth of the water in the container?
What is the area of the water surface?