Suppose you use geometry software to construct a secant CE and tangent CD that Intersect on a clrcle at polnt C. E When the measure of the intercepted arc is 180°, what is the measure of the angle? What does that tell you about the secant? Complete the explanation. When mCBE = 180°, then 1 mzDCE = 2 P. Because the secant (or chord) and the tangent are %3D (select) v at the point of tangency, the secant must be the (select) of the circle. B.
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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