A spiral is made up of successive semicircles, with centers altern | Filo
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A spiral is made up of successive semicircles, with centers alternately at and , starting with center at , of radii , . . .  as shown in Fig. What is the total length of such a spiral made up of thirteen consecutive semicircles

Solution:
Circumference of first semicircle

Circumference of second semicircle

Circumference of third semicircle

It is clear that , and

Hence, length of spiral can be calculated as follows:






cm
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