The Earth's orbit around the Sun is elliptical (oval shaped). However, the elongation is small, and for our discussion here, we take the orbit to be circular with a radius of approximately 93,000,000 mi. a. Find the linear speed (in mph) of the Earth through its orbit around the Sun. Round to the nearest hundred miles per hour. b. How far does the Earth travel in its orbit in one day? Round to the nearest thousand miles.

A toy racecar races along a circular race track that has a radius of 26 meters. The racecar starts at the 3-o'clock position of the track and travels in the CCW direction. Suppose the car has swept out 2.05 radians since it started moving. The racecar is how many radius lengths to the right of the center of the race track? __ radius lengths    The racecar is how many meters to the right of the center of the race track? __ meters    The racecar is how many radius lengths above the center of the race track? ___ radius lengths    The racecar is how many meters above the center of the race track? __ meterss

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A Ferris wheel is an amusement park ride comprised of a large wheel rotating on an axis. There are cars or compartments where people can sit or stand that are evenly spaced about the circumference of the circle. The wheel rotates slowly, taking passengers on a ride around the circumference of the circle. Please select one of the following famous Ferris wheels to research: Singapore Flyer London Eye Star of Nanchang You will need to find the diameter and number of compartments (or cars) for the one you chose in order to be able to complete the calculations section. Complete the following tasks and calculations. Name of the Ferris wheel Diameter of the wheel (in meters) Number of cars or compartments Circumference of the wheel (in meters) Area of the wheel (in meters) Measure of a central angle in degrees Measure of a central angle in radians Arc length between two cars or compartments Area of a sector between two cars or compartments Answer the following questions. Please show…