The areas of the great and small circles are equal to 918 cm^2 and 528 cm^2,

Question

respectively. Find the distance between the small circle and the center of the sphere.

Answer 1

Using A = πr²

 

The radius of the great circle is 5.4 (rounded)

The radius of the small circle is 4.0 (rounded)

 

Using Pythagoras

5.4² ≅ d² + 4.0²

29.17 ≈ d² + 16

13.17 ≈ d²

3.6 ≈ d

 

The small circle is approximately 3.6 cm from the center of the sphere.