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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) |
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Answer» 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 Learn more: find perimeter and area of shaded region as show in figure - Brainly.in Calculate the perimeter and area of a quadrant of the circles whose ... |
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