Question

Create a series of eight successive displacements that would program a robot to move in an octagonal path that is as close as you can get to approximating a circle. The robot should return to its starting point after the eighth displacement. What total distance does the robot move? Calculate the radius of the circle that has this distance as its circumference.

Answer 1

Ex; If the robot traveled 20 cm around the octagon then the circle circumference = 20 cm

Use the equation circumference = 2 π radius to calculate radius(C = 2πr)

If circumference = 20cm; radius = circumference / ( 2 π) = 20/6.28= 3.18 cm. Use your scale to express your answer in meters, km, etc

now set the protractor distance measure as 3.18 cm, place the protractor's metal spike at the octagon center and draw the circle.

Step-by-step explanation: