Mary is a scientist. Using a microscope, she looks at a salt crystal and discovers it is shaped like a cube. Each square face has side length 0.1 mm. Draw the crystal's square face such that 1 unit on the grid below represents 0.01 mm.

You need to grap a square where each side has 10 units in the grid.

Step-by-step explanation:

We know that each square has a side lenght of 0.1mm

Each unit in the grid represents 0.01mm

Then 10 units in the grid will represent 10*0.01 mm = 0.1mm.

Then the square face will be writen a square with a lenght of 10 units.

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.