Deduce the distance between the towns A and B and. Express your finalanswer in 3
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.
In the figure below (not drawn in scale), the points A, B, and C represent the locations of threehospitals on the shore of a peninsula. These hospitals use drones to safely send medicines fromone hospital to another.A drone departs from A in direction to C, travels at 35 km per hour, and takes 45 minutes untilit arrives at C. Another drone, departing from B to C, traveling at 40 km per hour takes 30minutes until it arrives at C. The drones’ paths are indicated in the Figure below as segmentsb(from A to C) anda(from B to C), respectively. The angle ACB (at the tip of the peninsulain the picture) is85◦. Deduce the distance between the towns A and B and. Express your finalanswer in 3 decimal places.
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