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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:

 

(i) Find the perimeter of the flower in the back view. Show your work.
1 564 m  
2 555 m  
3 552 m  
4 550 m  

Ans.

(1)

We have,
Length of the side of the square = 42 m
Radius of the circle = 21 m

Arc length of four sectors of circle (overlapped by square)

=4×90°360°×2π(21)=2×227×21=132 m∴ Arc length of four circles without square portion=4×2πr-132=8×227×21-132=528-132=396 mAlso, perimeter of square =4×42=168 m∴ Required perimeter of the flower=396+168=564 m