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Can you cut a circle into 5 equal parts? - Answers
AnswerThere are 2pi radians in a full circle. If we cut a circle into 5 equal parts, each central angle will have 2pi/5 (or 72 degrees), and each arc intercepted form those central angles will be (2/5)(pi)(r). AnswerYes, you can, using just a compass and straight edge. For any given circle you construct, construct a pentagon inside it using that compass and straight edge, then use the vertices of the pentagon to divide the circle into 5 equal sectors. Use the link below to see how the construction proceeds.
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Can you cut a circle into 5 equal parts? - Answers
AnswerThere are 2pi radians in a full circle. If we cut a circle into 5 equal parts, each central angle will have 2pi/5 (or 72 degrees), and each arc intercepted form those central angles will be (2/5)(pi)(r). AnswerYes, you can, using just a compass and straight edge. For any given circle you construct, construct a pentagon inside it using that compass and straight edge, then use the vertices of the pentagon to divide the circle into 5 equal sectors. Use the link below to see how the construction proceeds.
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Can you cut a circle into 5 equal parts? - Answers
AnswerThere are 2pi radians in a full circle. If we cut a circle into 5 equal parts, each central angle will have 2pi/5 (or 72 degrees), and each arc intercepted form those central angles will be (2/5)(pi)(r). AnswerYes, you can, using just a compass and straight edge. For any given circle you construct, construct a pentagon inside it using that compass and straight edge, then use the vertices of the pentagon to divide the circle into 5 equal sectors. Use the link below to see how the construction proceeds.
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