Two chords intersect inside a circle and form an angle of 46°. Joseph says the maximum arc measurement made by the chords is 46°. Louis says that the arc can be equal to an arc made by an obtuse central angle. WHO IS CORRECT? O Joseph is correct. The arc can't be greater than the angle. O Louis is correct. The arc intersected by the angle can be < 92 degrees. by the O Both are correct. An obtuse central angle can make an arc of 46 degrees. O None of them are correct. The maximum possible measure for that arc is 23 degrees, which cannot be made by an obtuse central angle.
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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