Who is asking: Student
I am having some difficulties solving this problem. If you can give me
any help, e-mail me and let me know. Thanks! A strip of wood is 16 ft.
long and is bent in the arc of a circle. Two radii, from the center of
the circle to the ends of the arc, form a right angle. What is the approximate
distance from one end of the wooden arc to the other?
In the diagram below P and Q are the ends of the wood
strip, C is the center of the circle and r is its radius.
Ther circumference, D, of a circle is given by
D = 2 pi r. In your situation the wood strip
is one-quarter the circumference so, using the expression above for the
circumference you can find the radius r of the circle. Then the triangle
PCQ is a right triangle, you know r so you can use Pythagoras' theorem to
find the length of the hypotenuse.