Question

50 POINTSS!!!!- The figure below shows the ideal pattern of movement of a herd of cattle, with the arrows showing the movement of the handler as he moves the herd. The arc the handler makes from the starting point to the return point should be a quarter of a circle:
Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle of radius 80 feet? (6 points)

125.6 feet
502.4 feet
83.73 feet
62.8 feet

Answer 1

Answer:

125.6 feet

Step-by-step explanation:

I took the test and got it correct.

Answer 2

Answer:

the first option

Step-by-step explanation:

solution:

distance: d=1/4 lc (because is a quarter of a circle)

length of the circumference: lc=2 pi r

pi: constant=3.14

radius of the circle: r=80 feet

replacing pi and r in the formula of lc:

lc=2 pi r

lc=2 (3.14) (80 feet)

lc=502.4 feet

replacing lc in the formula of d:

d=1/4 lc

d=1/4 (502.4 feet)

d=502.4/4 feet

d=125.6 feet