A path of width 3.5m runs all around a circular pool having an area of 962.5 m^2. Find the area the of the path

Asked by pankajpradhan7875 | 7th Aug, 2020, 09:22: AM

Expert Answer:

Area of circular pool = 962.5 m2
Using the formula for area of a circle, we have
πr squared equals 962.5 space straight m squared
22 over 7 cross times straight r squared equals 962.5 space straight m squared
straight r squared equals 7 over 22 cross times 962.5
straight r squared equals 306.25
straight r equals 17.5 space straight m
straight R equals Radius space of space the space circle space formed space by space joining space pool space and space circular space path space equals space Radius space of space pool plus width space of space circular space path
equals 17.5 plus 3.5 equals 21 space straight m
Area space of space bigger space circle space equals space πR squared equals 22 over 7 cross times 21 squared equals 22 cross times 21 cross times 3 equals 1386 space straight m squared
Area space of space circular space path equals Area space of space bigger space circle minus Area space of space circular space pool equals 1386 minus 962.5 equals 423.5 space straight m squared

Answered by Renu Varma | 7th Aug, 2020, 10:41: AM