# Circular Problems

• Apr 6th 2011, 06:44 AM
raymac62
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
• Apr 6th 2011, 06:58 AM
earboth
Quote:

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.
• Apr 6th 2011, 07:07 AM
earboth
Quote:

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
• Apr 6th 2011, 07:19 AM
raymac62