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Math Help - Circular Problems

  1. #1
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    Circular Problems

    Given a pole 2 m high, and 30 cm in circumference. A ribbon winds around it 7 times from its base to its top. Find the length of the ribbon?

    Given a circular log, 2 metres 50 centimetres in diameter. Assume it is turned into a rectangular plank 70 centimetres thick. Find the possible maximum width of the plank?

    How does one solve these word problems.

    Thanks in advance,

    Raymond MacNeil
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  2. #2
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    Quote Originally Posted by raymac62 View Post
    Given a pole 2 m high, and 30 cm in circumference. A ribbon winds around it 7 times from its base to its top. Find the length of the ribbon?
    ...
    How does one solve these word problems.

    Thanks in advance,

    Raymond MacNeil
    1. Draw a sketch.

    2. The length of the ribbon is the hypotenuse of a right triangle whose legs are the length of the pole and 7 times the circumference of the pole. Use Pythagorean theorem.

    3. You should come out with 2.9 m.
    Attached Thumbnails Attached Thumbnails Circular Problems-bandlaenge.jpg  
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  3. #3
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    Quote Originally Posted by raymac62 View Post
    ...

    Given a circular log, 2 metres 50 centimetres in diameter. Assume it is turned into a rectangular plank 70 centimetres thick. Find the possible maximum width of the plank?

    How does one solve these word problems.

    Thanks in advance,

    Raymond MacNeil
    1. Draw a sketch.

    2. You are dealing with a right triangle. (see attachment) Use Pythagorean theorem.

    3. You should come out with w = 2.4 m
    Attached Thumbnails Attached Thumbnails Circular Problems-brettdicke.png  
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  4. #4
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    Thank you sir or madam.
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  5. #5
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    length of ribbon

    Dear earboth,
    According to Dr Math your right triangle base should by increased by another circumference. This would make the ribbon 3.12m. Is he wrong?

    bjh
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