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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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Proposition:
A proposition is a statement to which it is possible to assign a value of either true or false.
Negation:
Let p be a proposition. The negation of p, denoted , is a proposition that is true when p is false, and false when p is true.
Conjunction:
Let p and q be propositions. The conjunction of p and q, denoted by is a proposition that is true when both p and q are true, and false in any other condition.
Disconjunction:
Let p and q be propositions. The disjunction of p and q, denoted by , is a proposition that is true when at least one of p or q is true, and false if both p and q are false.
Implication:
Let p and q be propositions. The proposition is false if is true, and is true
otherwise. The operator is called the conditional operator or implication operator.
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