Michael is running on a circular track that has a radius of 63 meters. He starts at the 3-o'clock position of the track (the east side of the track) and runs in the CCW direction. Let d represent the number of meters Michael has traveled since he started running. Imagine an angle with a vertex at the circle's center subtending the path Michael has traveled. a. Write a formula that expresses the number of radians the angle has swept out, 0, in terms of d. Preview b. Write a formula that expresses Michael's distance to the right (the east) of the center of the track in meters, h, in terms of d. h = Preview
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.
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