Hey guys pls help-
Susan has a trundle wheel. The radius of the wheel is 0.2 metres. She pushes the wheel across the playground. The wheel makes 30 complete rounds. Find the distance the wheel travelled.
distance in one revolution = 2 pi R
so
distance in 30 revolutions = ?
To find the distance the wheel traveled, we need to calculate the circumference of the wheel and then multiply it by the number of rounds made.
The formula for the circumference of a circle is given by:
C = 2πr
Where:
C is the circumference
π (pi) is a constant approximately equal to 3.14159
r is the radius of the circle
In this case, the radius of the wheel is given as 0.2 meters.
First, let's calculate the circumference of the wheel using the formula:
C = 2πr
C = 2 × 3.14159 × 0.2
C = 0.4 × 3.14159
C ≈ 1.25664 meters
So, the circumference of the wheel is approximately 1.25664 meters.
Next, we need to find the distance the wheel traveled by multiplying the circumference by the number of rounds made. As given, the wheel makes 30 complete rounds.
Distance = Circumference × Number of Rounds
Distance = 1.25664 meters × 30
Distance = 37.6992 meters
Therefore, the distance traveled by the wheel is approximately 37.6992 meters.