Patricia's bicycle tires have a radius of 10 1/2 inches. For the parade, she plans to weave ribbon in the spokes of her tire, 7 inches from the outside edge. About how much ribbon will Patricia need for both of her tires?
It would help If you gave a formal so I can Do the next one by myself.
~Hunnywithani
2006-12-22 07:37:33 · 6 answers · asked by ♫Music & Magic♫ 2 in Science & Mathematics ➔ Mathematics
First off, if this is for basic math, then the answer is simple.
If the outside tire radius is 10.5 inches, and she wants to weave the ribbon 7 inches from the outside edge, then:
10.5in - 7in = 3.5in
To figure out how much ribbon Patricia needs to weave the ribbon at 3.5in radius we'd have to multiply that by Pi (3.14)
So then, we look at the following formula:
Circumference = diameter x Pi
But...since we don't have the diameter, we must figure it out. So, look at your given:
Radius = 3.5in
Since Diameter =2xradius
We can then do this
D = r x 2
D = (3.5 x 2)
D = 7
C = d x Pi
C = 7 x 3.14
C = 21.98in
Or...22 inches or ribbon per wheel.
So for both of Patricia's Wheels we'd need 22in x 2 which is 44 inches of ribbon.
2006-12-22 07:52:41 · answer #1 · answered by deni m 1 · 2⤊ 0⤋
Find the circumference of the circle represented by the ribbon which will be 7 inches from 10 1/2 inches.
(10.5-7)*2*pi = the length of ribbon for one tire
3.5*2*pi = one length
7*pi = one length
about 21.98 = one length
about 42 inches for both tires
2006-12-22 16:06:23 · answer #2 · answered by fleebledargen 2 · 1⤊ 0⤋
This problem is based on the formula for circumference (C=2*pi*radius).
I would start by drawing a picture of one of the tires, and then draw and label the radius. The ribbon will be placed 7in. from the tire edge, so now draw a smaller circle inside the tire to represent where the ribbon will be.
Now calculate where the ribbon will be woven on the tire (10.5in. - 7in). This value is your new radius! Plug into your formula for circumference, and you have your answer: C=2*pi*3.5 = 7pi
2006-12-22 16:03:41 · answer #3 · answered by teachbio 5 · 0⤊ 0⤋
First you need to calculate the radius of the circle the ribbon will be forming. It is:
r = 10.5 - 7 = 3.5 inches
The circumference of the circle is 2Ïr. So the amount of ribbon needed for one wheel is:
2Ïr = 2Ï(3.5) = 7Ï = 22 inches
The amount needed for two wheels is twice that.
2*7Ï = 44 inches
2006-12-22 16:11:37 · answer #4 · answered by Northstar 7 · 1⤊ 0⤋
2[2 pi (10.5 - 7)] in.
2006-12-22 15:43:52 · answer #5 · answered by sahsjing 7 · 0⤊ 0⤋
duh!!!!!
2006-12-22 16:18:15 · answer #6 · answered by Anonymous · 0⤊ 1⤋