You decided the visit a Roman amphitheatre with your friend. The amphitheater is shaped like semi elliptical arch and it is designed so that if two people talk to each other, then the audibility of their conversation will be heard best if they are in the focus of this arch. The amphitheater has a height of 30 feet and a width of 100 feet. If you would like to test it, how far away from each other should you stand?
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.
Given height and width of amphitheater is:
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