SOLUTION: A new museum has two circular display rooms. The radius of the large circular room is 6 yards. The radius of the smaller circular room is 3 yards. What percent of the larger roo

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A new museum has two circular display rooms. The radius of the large circular room is 6 yards. The radius of the smaller circular room is 3 yards. What percent of the larger roo      Log On


   

Question 1141029: A new museum has two circular display rooms. The radius of the large circular room is 6 yards. The radius of the smaller circular room is 3 yards. What percent of the larger room is the area of the smaller room? Round your answer to the nearest whole percent.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The ratio of the two radii is 1:2; the ratio of the areas is 1:4.

So the area of the smaller room is 1/4 the area of the larger.

1/4 = 25%