84.6k views
2 votes
A unicycle is a vehicle that touches the ground with only one wheel. jake had a unicycle as his birthday present last year. the wheel had a diameter of 50.8 cm. jake practiced on the unicycle in his backyard. the wheel turned 5 times completely. what was the total distance travelled by the unicycle, when rounded off to 2 decimal places? take π as 3.14.

User Shawn H
by
8.5k points

1 Answer

3 votes

Final answer:

The unicycle's wheel with a diameter of 50.8 cm turned 5 times completely, covering a total distance of 7.98 meters when rounded off to two decimal places.

Step-by-step explanation:

The question asks to calculate the total distance traveled by Jake's unicycle's wheel, which has a diameter of 50.8 cm and turns 5 times completely.

To find the distance, we first calculate the circumference of the wheel, which is the distance traveled in one complete turn, using the formula C = πd, where C stands for circumference, π is Pi (approximately 3.14), and d represents the diameter. After obtaining the circumference, we multiply it by the number of turns to get the total distance traveled.

First, we find the circumference:
C = πd

= 3.14 × 50.8 cm

= 159.512 cm.

Next, multiply the circumference by the number of turns:
Total distance = 5 × 159.512 cm

= 797.56 cm.

Finally, to convert centimeters to meters, divide by 100:
Total distance in meters = 797.56 cm / 100

= 7.9756 meters, which, rounded off to two decimal places, is 7.98 meters.

User Justin Furuness
by
8.6k points