The circumference of a circular clock is 31.4 inches. what is the diameter of the clock

The circumference formula is 
C = r

We know the circumference, so lets find the radius and we will get the diameter.

31.4 = 2
divide by 2 to isolate r

= 
2 and 2 cancels out.

0.4997 = r
0.5 in ≈ r        (approximately)

Diameter is 2 × radius
                   2 × 0.5
                   1 in

Answer: 10pi

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.

Option a : week- amuont paid