The radius of the first circle is 'r' cm and it is increased by 1 cm successively. Find the length of the wire that is required to make 5 such circles.
A) \[(10\pi +r)cm\]
B) \[2\pi \,cm\]
C) \[10\pi (r+2)\,cm\]
D) \[2\pi (r+2)\,cm\]
Correct Answer: C
Solution :
The circumferences of the successive circles (in cm) are \[3\times =219\] \[\text{1}0\text{32 }=\text{ 4}0\text{8 }\times \text{ 2 }+\text{ 216}\] \[\text{4}0\text{8 }=\text{ 216 }\times \text{ 1 }+\text{ 192}\] \[\text{216 }=\text{ 192 }\times \text{ 1 }+\text{ 24}\] \[\text{192 }=\text{ 24 }\times \text{ 8 }+\text{ }0\]
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