ICSE Class 10 Answered

Calculate the area of the shaded portion. The quadrants shown in the figure are each of radius 7 cm.

Asked by Topperlearning User | 09 Jun, 2016, 03:18: PM

Expert Answer

$C o m p l e t e space t h e space s q u a r e space a s space s h o w n space a b o v e. therefore space S i d e space o f space a space s q u a r e equals 14 space c m A r e a space o f space s h a d e d space p o r t i o n equals A r e a space o f space a space s q u a r e space minus space A r e a space o f space 4 space q u a d r a n t s equals left parenthesis S i d e right parenthesis squared space minus space 4 cross times πr squared over 4 equals left parenthesis 14 right parenthesis squared space minus space 4 cross times 1 fourth cross times 22 over 7 cross times 7 cross times 7 equals 196 minus 154 equals 42 space c m squared$