A Wedged-shaped piece is cut from a pizza 10 inches in diameter so that the rounded edge of the crust measures 4.4 inches. Determine the measure in degrees of the angle at the pointed end of the pie.?
i tried alot to do this problem but i couldn't
if u r smart tell me the answer??
plz don't answer if u dont know!!!
2007-01-06 09:07:57 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
You need to use the formula relating arc distance (s) to radius(r) and angle(theta)
s=r*theta
theta = s/r
theta = 4.4 / 5 = .88 radians = 50.4 degrees
2007-01-06 09:13:59 · answer #1 · answered by z_o_r_r_o 6 · 0⤊ 0⤋
ok, the first thing we need to find is the circumference of the pizza
C = 2*pi*radius = pi*diameter
so C = 10*pi
since the edge of the crust is 4.4 inches, this covers 4.4/(10*pi) of the circumference. and since there are 360 degrees in the whole pizza/circle, we can find the angle measure (degrees) by multiplying (4.4*360) / (10*pi)
this turns out to be about 50.420286 degrees
2007-01-06 09:14:22 · answer #2 · answered by Anonymous · 0⤊ 0⤋
The circumference is 10 times 3.14, which is 31.4 inches. The edge of the crust is 4.4/31.4 or about .14 of the total pizza. A circle has 360 degrees, and .14 times 360 is 50.4 degrees, which is the answer.
2007-01-06 09:11:40 · answer #3 · answered by Someone 3 · 0⤊ 0⤋
First you need to find the circumference of the pizza. C=pi*d so it would be 31.4 inches. Next, take your part and divide it be the circumference to find what percentage of the circle you have.. 4.4/31.4=.1401273 or approximately 14%. Now multiply this number by 360 to get the portion of the circle that you have in degrees...360*.14 = 50.4 degrees.
2007-01-06 09:16:51 · answer #4 · answered by dwobbit 2 · 0⤊ 0⤋
The formula is r*theta = arc length, where r is the radius of the pizza and and theta is the angle you are seeking measured in radians
So r = 5 and arc length = 4.4
5 *theta=4.4
theta= 4.4/5 = .88 radians
To convert to degrees multiply by 180/pi which gives 50.42 degrees.
2007-01-06 09:19:41 · answer #5 · answered by ironduke8159 7 · 0⤊ 0⤋
C = pi D
C = circumference
Pi = 3.1416
D = diameter
C = 3.1416 x 10
C = 31.416
divide 4.4 into 31.416 = 7.85
This will give the number of slices to the pizza
7.85/31.416 = x / 360
This is a ratio formula using the ratio of the perimeter to the number of degrees
x = 7.85 x 360 divided by 31.416 = 89.95 degrees
2007-01-06 12:53:11 · answer #6 · answered by David C 2 · 0⤊ 0⤋
10" dia is approx 31.4" circumference
4.4/31.4=approx .1401273
.1401273*360= approx 50.45degrees
I do not know how accurate you need to be
2007-01-06 09:16:00 · answer #7 · answered by Aviator1013 4 · 0⤊ 0⤋
if i were you i will save time and eat it
2007-01-06 09:17:41 · answer #8 · answered by Raoof 2 · 0⤊ 1⤋