The smallest bone in the human body is the stapes (or stirrup) in the inner ear, at about 3 mm. The largest bone is the femur, which is about 480 mm in length in an average male. About how many times smaller is the stapes than the femur in the human body?

160

Step-by-step explanation:

It's simple you have to do 480 divided by 3 and you will get 160. To check if you multiply 3x160 it would equal 480. So 160 times larger. Hope this helps!

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.