Question

Consider five circles with radii of 1, 2, 4, 8, and 16 inches.

a. Complete the table.
b. Compare the areas and circumferences. What happens to the circumference of a circle when you double the radius? What happens to the area?
c. What happens when you triple the radius?

Please answer all questions or just the table, because I need help. Thanx!

Answer 1

a) 2. 4pi (in) , 4pi

3. 8pi , 16pi

4. 16pi, 64pi

5. 32 pi , 256pi

Explanation:

b) when radius increase , the areas and circumferences increase to

circumference = 2 pi * radius ; so if you double the radius , circumference will be double

area = pi * radius * radius ; if you double the radius , area will be 2^2 or 4 times

c) circumference will be triple and

area will be 3^2 or 9 times