Start with a square whose sides have length 1.
Construct semicircles on two adjacent sides to form a heart shape.
Circumscribe the heart with a circle, as shown below.
What is the radius of the circumscribing circle?

Three squares are constructed on the three sides of an equilateral triangle. Each square has a side length equal to 1. A circle circumscribes the squares, as shown.
What is the radius of the circle?

Triangle ABC has sides AB = 8, BC = 7, and AC = 9.
The segments AB and AC are extended and a circle O is constructed exterior to the triangle and is tangent to BC at D and the extended lines through AC and AB at N and M, as shown.
What is the radius of circle O?

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?