Answer:
hello the figure related to your question is missing attached below is the missing figure
answer : 157.08 m^2
Step-by-step explanation:
Calculate the area of the shaded area
= Area of the large circle - Areas of the small circles
= (( 
) * D^2) - 2( ( ) * d^2 ) given that the small circles are congruent
= (( ) * 20^2 ) - 2 ( ( ) * 10^2 )
= 314.16 - 157.08
= 157.08 m^2
Thwre are 28 clients who don not play any of the instrument using the principle of Venn distribution.
<u>Using a Venn diagram analogy</u> :
- Total number of client, U = 108
- Piano, P = 42
- Guitar, G = 51
- Piano and Guitar, (PnG) = 13
- None =?
<u>From the information given</u> :
- P only = 42 - 13 = 29
- G only = 51 - 13 = 38
<u>The total number of clients can be related thus</u> :
- Total = P only + G only + PnG + None
108 = 29 + 38 + 13 + None
108 = 80 + None
None = 108 - 80
None = 28
Therefore, the number of clients who do not play any of the instruments is 28
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