A Piece of wire is used to make circles of the following pattern.The radius of the first circle is ‘ r ‘ cm and increased by 1 cm successively.Find the length of the wire that is required to make 5 such circles.(take π= 22/7)
Answers
Given : The radius of the first circle is ‘ r ‘ cm and increased by 1 cm successively
To find : the length of the wire that is required to make 5 such circles.(take π= 22/7)
Solution:
radius of 1st circle = r cm
radius of 2nd circle = r + 1 cm
radius of 3rd circle = r + 2 cm
radius of 4th circle = r + 3 cm
radius of 5th circle = r + 4 cm
Perimeter of circle = 2π* Radius
Total wire required = 2π ( r + (r + 1) + (r + 2) + (r + 3) + (r + 4))
= 2π(5r + 10)
= 10π(r + 2)
= 10 (22/7)(r + 2)
= 220(r + 2)/7 cm
10π(r + 2) cm or 220(r + 2)/7 cm is the length of the wire that is required to make 5 such circles
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