Inscribed & Circumscribed

September 22, 2014
Topics/Content Areas: 

The figure shows a square inscribed in a circle with radius 2 cm. What is the ratio of the area of the circle to the area of the square? Express your answer as a common fraction in terms of π.

 

In this figure, a square is inscribed in a circle of radius 12 in, and another circle is inscribed in that square. What is the ratio of the area of the smaller circle to the area of the larger circle? Express your answer as a common fraction.

 

This figure shows a circle inscribed in a rhombus with diagonals of length 6 cm and 8 cm. What is the ratio of the area of the circle to the area of the rhombus? Express your answer as a common fraction in terms of π.