1. ## 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.

Raymond MacNeil

2. Originally Posted by raymac62
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.

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.

3. Originally Posted by raymac62
...

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.

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

4. Thank you sir or madam.

5. ## 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