Question

A comparison of the measures of central angles and inscribed angles of circles to their intercepted arcs are listed in the tables below. Based on the data in the tables, which conjecture about inscribed and central angles is true?.

Answer 1

A central angle means an angle that is at the center of a circle and whose legs are intersecting the circle.

What is a central angle?

Your information is incomplete as the data is not given. Therefore, an overview will be given.

Central angles are shaped by an arc between the two points. When a central angle and the inscribed angle intercept the same arc, then the central angle would be the double of the inscribed angles while the inscribed angle will be half of the central angle.

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