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Solution


Q.

Pragati made a paper flower using 4 identical circles and a dotted square. The front view and back view of the flower is as shown below.

The diameter of each circle is the same as the length of the side of the square, 42 m.

Based on the above information, answer the following questions:

 

(iii) (b) Find the total area of dotted and non-dotted region in back view.
1 5920 m2  
2 5910 m2  
3 5820 m2  
4 5922 m2  

Ans.

(4)

Total area of back view

=Area of square +4  × Area of one longer sector of circle

Each longer sector angle:

(360°-90°)=270°=(42)2+4×270°360°×227×212=1764+4×4158=(1764+4158)=5922 m2