Adenan makes a scale drawing of a rectangular flower box. the length is 5 in., and the width is 3 in. adenan changes the scale of the drawing from 1 in. : 4 ft to 1 in. : 6 ft. which statement about the dimensions of the flower box is true?
a. the length of the flower box under the new scale is 15 ft.
b. the length of the flower box under the old scale is 30 ft.
c. the width of the flower box under the old scale is 12 ft.
d. the width of the flower box under the new scale is 24 ft.

C is the answer

Step-by-step explanation:

because math

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.

where's the diagrams?