If the wheel of a bicycle has a diameter of 60cm, calculate how far a cyclist will have travelled after the wheel has rotated 100 times.
C = pi * d
C = 3.14 * 60
C = 188.4 cm
188.4 * 100 = 18,840 cm = 188.4 meters
How did you get this answer it's wrong in my school have checked and i got wrong answer plz correct it
Well, if the wheel has a diameter of 60cm, that means its radius is 30cm. And we know that the circumference of a circle can be calculated using the formula C = 2πr. So, the circumference of this wheel would be 2π(30cm) = 60π cm.
Now, if the wheel rotates 100 times, then the cyclist would have traveled a distance equal to the circumference multiplied by the number of rotations. So, 100 rotations x 60π cm/rotation = 6000π cm.
But let's be honest, that's a lot of π's! So, if we were to approximate the value of π to 3.14, the distance traveled would be approximately 6000 x 3.14 cm, which is around 18,840 cm.
So, after 100 rotations, the cyclist would have traveled approximately 18,840 cm. That's a lot of pedaling!
To calculate the distance traveled by a cyclist after the wheel has rotated 100 times, we need to find the circumference of the wheel and then multiply it by the number of rotations.
The circumference of a circle can be found using the formula:
Circumference = 2 * π * radius
Since the wheel's diameter is given as 60cm, the radius can be calculated by dividing the diameter by 2:
Radius = Diameter / 2
= 60cm / 2
= 30cm
Now, let's calculate the circumference of the wheel:
Circumference = 2 * π * radius
= 2 * π * 30cm
= 60π cm
Since the cyclist has rotated the wheel 100 times, the distance traveled can be calculated by multiplying the circumference of the wheel by the number of rotations:
Distance Traveled = Circumference * Number of Rotations
= 60π cm * 100
= 6000π cm
So, the cyclist will have traveled a distance of 6000π cm after the wheel has rotated 100 times.
To calculate the distance traveled by the cyclist after the wheel has rotated 100 times, you need to find the circumference of the wheel and then multiply it by the number of rotations.
The formula to calculate the circumference (C) of a circle is given by: C = π * d, where d is the diameter of the circle.
Given that the diameter of the bicycle wheel is 60 cm, we can substitute this value into the formula to find the circumference:
C = π * 60 cm
Now we need to calculate the total distance covered by the cyclist after 100 rotations. Since each rotation covers the circumference of the wheel, we can multiply the circumference by 100 to find the total distance:
Total distance = C * 100
Let's do the calculations step by step:
1. Calculate the circumference of the wheel:
C = π * 60 cm ≈ 188.5 cm (approx.)
2. Calculate the total distance:
Total distance = 188.5 cm * 100 ≈ 18850 cm
Therefore, the cyclist will have traveled approximately 18,850 cm after the wheel has rotated 100 times.