Four identical coins are placed in a square. For each coin, the ratio of area to circumference is same as the ratio of circumference to area. Then, find the area of the square that is not covered by the coins.

CAT Mensuration Test

Asked by rushabhjain.av | 7th Feb, 2019, 03:46: PM

Expert Answer:

According to the question,
Circumference = Aera of a circle
begin mathsize 16px style 2 πr equals πr squared
straight r squared minus 2 straight r equals 0
straight r open parentheses straight r minus 2 close parentheses equals 0
straight r not equal to 0 space hence comma space straight r equals 2 space units
Side space of space straight a space square space equals space 2 cross times 4 equals 8 space units
Area space of space straight a space circle space equals πr squared space equals 3.14 cross times 2 squared equals 12.56 space sq. space units
Area space of space 4 space circles equals 12.56 cross times 4 equals 50.24 space sq. space units space
Area space of space straight a space square space equals space 8 squared equals 64 space sq. space units
Required space area space equals space 64 space minus space 50.24 equals 13.76 space sq. space units end style

Answered by Sneha shidid | 8th Feb, 2019, 09:26: AM