a discombobulated man runs through an arc if 80 degrees along a circle of radius 300 meters. how far did the man run

Question

a discombobulated man runs through an arc if 80 degrees along a circle of radius 300 meters. how far did the man run

Answer 1

use the formula for arc length:

L=(q/180)(∏)(r) where q=80º and r=300

L=(80/180)(3.14159)(300)

L=(4/9)(300)(3.14159)

L=(4/3)(100)(3.14159) after simplifying

L=(400/3)(3.14159)

L=(400*3.14159)/3

L=1256.636/3

L=418.878666....meters

if you don't understand the formula....

the man ran 80/360 of the circumference

the man ran 2/9 of the circumference

C=2*∏*r

C=2*3.14159*300

C=600*3.14159

C=1884.954 meters

take 2/9 of this number

(2/9)*(1884.954)=(2*1884.954)/9=3769.908/9=418.878666... meters again