Q100 of 131 Page 226

A circle with radius 16 cm is cut into four equal parts and rearranged to form another shape as shown in Fig. 9.52:


Does the perimeter change? If it does change, by how much does it increase or decrease?

Perimeter of the circle in first fig includes 4 arcs of equal length.


While in the second fig, perimeter includes 4 arcs as well as radius twice.


So the perimeter is increased by 2r = 2 × 16 = 32 cm


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