I agree with Clare's claim because she correctly calculates the distance traveled by the unicycle in 5 complete rotations. By using the formula for the circumference of a circle, which is 2πr, where r is the radius, Clare estimates the diameter to be approximately 0.5 meters. Since the radius is half the diameter, it would be 0.25 meters. Thus, the distance traveled in 5 rotations would be (5 * 2π * 0.25) meters, which simplifies to 5/2π meters.
However, I disagree with Andre's claim because he miscalculates the distance traveled. While he agrees with Clare's estimate of the diameter, he incorrectly calculates the distance traveled by dividing 5 rotations by 4π. This would only give the distance covered in 4 rotations, not 5. Therefore, Andre's claim is incorrect, and the unicycle will indeed go about 5/2π meters, as Clare correctly stated.
Decide if you agree or disagree with Clare and Andre's claims and explain your point of view for each claim.
Remember,
Clare says, “The diameter of the unicycle wheel is about begin mathsize 18px style 0.5 end style meters. In 5 complete rotations, it will go about 5 over 2 pi meters.”
Andre says, “I agree with Clare's estimate of the diameter, but that means the unicycle will go about 5 over 4 pi meters.”
You can start your response with:
I [agree/disagree] with Clare's claim because . . .
I [agree/disagree] with Andre's claim because . . .
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