Question

Two circles have the same radius. Complete the description for whether the combined area of the two circles is the same as the area of a circle with twice the radius. The combined area of two circles with the same radius is ___πr2. The area of a circle with twice the radius is ___πr2. The combined area of two circles is as the area of a circle with twice the radius.

Answer 1

The combined areas of 2 circles with the same radius would be half the distance of a circle with double the radius. The reason is because you are doubling only the total area when you have 2 different circles. When you double the radius of the circle when finding the are ma you are actually doubling 2 dimensions, so you double it and then double it again making it 4 times as big.