Maya wants to determine the area of a circle. She uses a compass and ruler to draw a circle that has a radius of r. She then inscribes a regular octagon within the circle, as shown above. The octagon is divided into 8 congruent triangles, and each of the 8 interior angles measure 45°. She then labels the height and base of one of the triangles within the circle. She labels the height h, and the base, b.

She then makes three claims about her work.

Determine whether each claim Maya makes is correct. Select True or False for each claim.