A plastic cover is made for a pool with a diameter of 24 feet. The cover will rest on the top of the pool and will include a wedge-shaped flap that forms a 45 degree angle at the center of the cover. A zipper will go along 1 side of the wedge-shape flap and around the arc. Which of the following is closest to the length, in feet, of the zipper?

Question

anonymous · Answer

|dw:1386056556962:dw|

alekos · Answer

what do you think the length of the straight section of zipper will be?

anonymous · Answer

Find radius -> use arc length equation.

anonymous · Answer

when diameter is 24 than the radius is 12 right

anonymous · Answer

To find the arc length simply use this formula: 
$$S=\theta \times r$$
where theta is the angle

alekos · Answer

then just add the two together for the total zipper length

ganeshie8 · Answer

|dw:1386056893630:dw|