Answer:
![distance\ travel\ by\ bike = 62.8\ inches](https://img.qammunity.org/2020/formulas/mathematics/middle-school/76495gda127o6slexf8ebo073s6xoupnuq.png)
Explanation:
Let x be the distance travel by bike to rotate wheel once.
Given:
Diameter of the wheel = 20 inches
The distance travel by bike to rotate wheel one time = circumference of the wheel
![x= circumference\ of\ a\ wheel](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lzkgb90xp5t40j2g7ruhc2xhce23pes90e.png)
Circumference of the wheel =
![\pi * d](https://img.qammunity.org/2020/formulas/mathematics/middle-school/slb4jnscczw42cncymrqpr42swuozt6uga.png)
where d is the diameter of the wheel.
Circumference of the wheel =
![\pi * 20](https://img.qammunity.org/2020/formulas/mathematics/middle-school/abulnf6fssbh1ohchfavqxpbr0p4o0fzrb.png)
Used
![\pi =3.14](https://img.qammunity.org/2020/formulas/mathematics/high-school/595myhvi9x0vjp0b1ku7bsoelmk1x8jihg.png)
Circumference of the wheel =
![3.14 * 20](https://img.qammunity.org/2020/formulas/mathematics/middle-school/p8wc407syxbcv3j5j08w95qn2c8zvmngic.png)
Circumference of the wheel =
![62.8\ inches](https://img.qammunity.org/2020/formulas/mathematics/middle-school/dgp6dvlog51sszxlmfekx8e1t81avkrrk4.png)
![x=62.18\ inches](https://img.qammunity.org/2020/formulas/mathematics/middle-school/pi5qyzkqi5i2qzkxntx3be3e0b9c4icnmm.png)
Therefore, the distance travelled by bike to rotate wheel once is 62.8 inches.