The conversation between human and AI assistant.
Quick math question, is the area of the inner circle less than, greater than, or equal to the area of the ring around the circle?
Can you explain why that is?
Sure, the area of a circle is calculated by the formula: πr^2, where r is the radius of the circle. So, the area of the inner circle is πr1^2, where r1 is the radius of the inner circle. The area of the ring is the difference between the areas of the outer circle and the inner circle. So, the area of the ring is (πr2^2 - πr1^2), where r2 is the radius of the outer circle. Simplifying this equation, we get the area of the ring as π(r2^2 - r1^2), which is always greater than πr1^2.