Suppose the racecar has traveled 55 meters along the race track. a. How many radians has the racecar swept out? b. What is the racecar's distance to the right of the center of the race track (in meters)? meters c. What is the racecar's distance above the center of the race track (in meters)? d. Let dd represent the racecar's varying distance traveled (in meters) along the circular race track.Write an expression (in terms of dd) to represent the racecar's distance to the right of the center of the race track (in meters).
Angles in Circles
Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.
Arcs in Circles
A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.
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.
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Suppose the racecar has traveled 55 meters along the race track.
a. How many radians has the racecar swept out?
b. What is the racecar's distance to the right of the center of the race track (in meters)?
meters
c. What is the racecar's distance above the center of the race track (in meters)?
d. Let dd represent the racecar's varying distance traveled (in meters) along the circular race track.Write an expression (in terms of dd) to represent the racecar's distance to the right of the center of the race track (in meters).
e. Write an expression (in terms of dd) to represent the racecar's distance above the center of the race track (in meters).
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