Calculate the length of an arc

which subtends an angle of 100 degrees

at the centre of a circumcised radius 14cm

Easy peasy

remember that the arc is a part of the perimiter of the circle aka circumference

also 360 degrees=circle

we are given the radius

calculate circumference

c=2pi times r

r=14

c=pi times 2 itimes 14

c=28pi

100 degrees is the arc

find what fraction of the circumferece thei srepresents

whole=360

100/360=10/36=5/18

so if circumference=28pi then multiply 5/18 by that

5/18 times 28pi=140pi/18=70pi/9

legnth = (70pi) / 9 cm

if you were to aprox pi to 3.14 then the answer would be

24.4222222 cm