SOLUTION: You have two circles with circumference pi and 4pi. What is the ratio of the areas of the circles? What is the ratio of the diameters? What is the ratio of the radii?

Algebra ->  Circles -> SOLUTION: You have two circles with circumference pi and 4pi. What is the ratio of the areas of the circles? What is the ratio of the diameters? What is the ratio of the radii?       Log On


   

Question 726484: You have two circles with circumference pi and 4pi. What is the ratio of the areas of the circles? What is the ratio of the diameters? What is the ratio of the radii?
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
C = d*pi where d is the diameter. The diameter of the first circle is 1, and its radius is .5 (1/2 the diameter. The diameter of the second circle is 4, and its radius is 2.


The ratio of the diameters is 1/4 (1:4)


Area is pi%2Ar%5E2. For the first circle it's pi%2A.5%5E2 = .25*pi. For second circle it's pi%2A2%5E2 = 4*pi. The ratio is .25*pi/4*pi = .25/4 = 1/16.


The ratio of the radii is .5/2 = 1/4.

Hope the solution helped. Sometimes you need more than a solution. Contact fcabanski@hotmail.com for online, private tutoring, or personalized problem solving (quick for groups of problems.)