Tap the image to view it please I will give crown and points

2886.34 mm

Step-by-step explanation:

The radius of the disc is given to be 35 millimeters. This means that the distance from the edge of the large circle to the center is 35 millimeters.

We need to find the large circle area and subtract the small circle area from it.

Large circle area:

Area = π

        = π

        = 1225π

The radius of the small circle is half the radius of the large circle. 35/2 = 17.5

Small circle area:

Area = π

        = π

        = 306.25π

Large circle - small circle =

1225π - 306.25π = 918.75π

                            = 2886.34 mm

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

read more on -

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.