Finding the Distance between Two CitiesThe latitude of a location L is the measure of the angle formed by a ray drawn fromthe center of Earth to the equator and a ray drawn from the center of Earth to L.See Figure 15(a). Sioux Falls, South Dakota, is due north of Dallas, Texas. Find thedistance between Sioux Falls (43° 33′ north latitude) and Dallas (32° 46′ northlatitude). See Figure 15(b). Assume that the radius of Earth is 3960 miles.
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.
Finding the Distance between Two Cities
The latitude of a location L is the measure of the angle formed by a ray drawn from
the center of Earth to the equator and a ray drawn from the center of Earth to L.
See Figure 15(a). Sioux Falls, South Dakota, is due north of Dallas, Texas. Find the
distance between Sioux Falls (43° 33′ north latitude) and Dallas (32° 46′ north
latitude). See Figure 15(b). Assume that the radius of Earth is 3960 miles.
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