It moves 65.97 centimeters
Step-by-step explanation:
The length of the circle is 2πr, where
∵ The radius of a wheel rolling on the ground is 84 centimeters
∴ r = 84 cm
∵ The wheel rotates through an angle of 45°
- To find the distance that the wheel moves for 45° use the rule above
to find the length of the arc which is equal to the length that the
wheel moves
∴ The distance = [tex]\frac{45}{360}[/tex] × 2π(84)
∴ The distance = 65.97 cm
It moves 65.97 centimeters
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The wheel does move 65.94 cm.
Given that
The radius of a wheel rolling on the ground is 84 centimeters.
If the wheel rotates through an angle of 45.
How many centimeters does it move?
The radius of a wheel rolling on the ground is 84 centimeters.
If the wheel rotates through an angle of 45.
Then,
The length of the arc is given by the following formula;
[tex]\rm Length \ of \ Arc = \dfrac{\theta}{360}\times 2\pi r[/tex]
Substitute all the values in the formula;
[tex]\rm Length \ of \ Arc = \dfrac{\theta}{360}\times 2\pi r\\ \\ \rm Length \ of \ Arc = \dfrac{45}{360}\times 2 \times 3.14 \times 84\\ \\ \rm Length \ of \ Arc = 0.125 \times 2 \times 3.14 \times 84\\ \\Length \ of \ Arc = 65.94 \ cm [/tex]
Hence, The wheel does move 65.94 cm.
To know more about Rotation click the link given below.
https://brainly.com/question/1571997
