CIRCUMFERENCE OF A CIRCLEProblem:Definition of Pi: Mathematicians have establishedthat the relationship of the circumference to the diameterof a circle is a constant called Pi and written Z. Thenumerical value of this constant is approximately3.141592653. For our purpose 3.1416 or simply 3.14will suffice.The formula for the circumference of a circle isC = nD where C is the circumference and D is thediameter since D = 2R where R is the radius, theformula may be written C = 27cR.Given:Diameter of circle O is 4".Problem:Compute the circumference.Formula C = nDC = 3.1416 X 4"C = 12.5664’The size of flat sheet necessary to form pipe.Solution:By formula the circumference of the end is nD. If thiswere rolled out, the stretchout would be xD.STRETCHOUT OF A RIGHTCIRCULAR CONEThe stretchout of a right circular cone will be aportion of a circle whose radius (S) is equal to the slantheight of the cone.STRETCHOUT OF ROUND OBJECTSTo determine how much of the circle will be re-quired for the cone, you measure on the circumferenceof this circle the circumference of a circle of radius R.Given:Diameter of the round pipe= DLength of the round pipe= 1AII-15

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