Billy likes to go cycling. His bike has wheels with a diameter of 80 cm. He invented a counter for his bike, which counts how many revolutions the wheel does. One day, the counter shows 170 revolutions. How far has Billy cycled to the nearest meter?

We know that the diameter of the wheel is 80cm. Thus we can find the circumference of the wheel by the equation C=2(pi)r or, knowing that the Diameter is 2r, C=D(pi).
Now, we know that the circumference of the wheel is 80(pi)cm.
If the wheel rotates 170 times, that means we multiply the circumference of the wheel by 170 to receive the answer.
80 x 170 x pi = about 42725.66cm
we then can divide our answer by 100 to convert to meters --> (42725.66cm)(1m/100cm) = 427.2566 which we round to 427m
Hope this helped!

Answered by kavikafaleumu | 2024-06-10

Billy cycled approximately 427 meters by calculating the circumference of his bike's wheels and multiplying that by the number of revolutions shown on his bike's counter. The wheel's circumference was derived from its diameter of 80 cm. The total distance was converted from centimeters to meters for clarity.
;

Answered by kavikafaleumu | 2024-12-26