Question

The radius of a Carousel is 8 meters a. You walk halfway around the Carrasso to find your seat how far in centimeters did you travelb. you decide you no longer wish to ride and you walk the rest of the way around the carousel to exit how far in kilometers did you travel

Answer 1

Part a

Find out the circumference of the carousel

`C=pi*D`

where

r=8 m

D=2*8=16 m -----> the diameter is two times the radius

substitute

`\begin{gathered} C=pi*16 \\ C=50.27\text{ m} \end{gathered}`

Divide by 2 (because you walk halfway)

50.27/2=25.13 meters

Convert to cm

25.13 m=2,513 cm

The answer Part a is 2,513 centimeters

Part B

The distance is equal to the circumference, because the circumference is equal to two halfways

therefore

The distance in kilometers is equal to

50.27 m=50.27/1000=0.05 km