A car tire has a diameter of 66 cm. The tire rolls without sliding along a road. Let x be the distance (in cm) the car travels as the tire rotates θ radians. Assume θ to be positive and consider only its magnitude. (So, its position on the circle is not relevant.) Assume also that the distance x is positive. 1. Find θ as a function x. Use exact values in the formula, not decimal approximations θ(x) = 2. If the car rolls 40 cm, what is the angle that the tire rotates (in degrees)? Round to the nearest tenth of a degree? θ = °
A car tire has a diameter of 66 cm. The tire rolls without sliding along a road. Let x be the distance (in cm) the car travels as the tire rotates θ radians. Assume θ to be positive and consider only its magnitude. (So, its position on the
1. Find θ as a
θ(x) =
2. If the car rolls 40 cm, what is the
θ = °
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