Write a function that relates the commission earned by a salesperson, c(p), to the profit earned on the car, p. the salespeople at a local car dealership are paid a commission based on the profit earned from each car they sell. if the profit is less than $900, the salesperson gets 15% of the profit as commission. if the profit on the car is equal to or between $900 and $1,500, the salesperson gets 17% of the profit. even better, if the profit on the car sold is more than $1,500, the salesperson gets 21% of the profit as commission.

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.

a² + b²= c²

24² + 7² = c²

c= 25