Circles Secants and Tangents and Angles Measures

What is a central angle?

• An angle formed by 2 chords and its vertex lies on the circle.

• An angle formed by two radii whose vertex is the center of the circle.

• An angle that measures 90 degrees

• An angle that intersects the circle at a tangent

What is an Inscribed angle?

• An angle formed by 2 chords and its vertex lies on the circle.

• An angle formed by two radii whose vertex is the center of the circle.

• An angle that measures 90 degrees

• An angle that intersects the circle at a tangent

What type of triangle is formed by two radii and a chord?

• Isosceles

• Equilateral

• Scalene

• Right

If a quadrilateral is inscribed in a circle, then opposite angles are _____.

• Complementary

• Equal

• Supplementary

• Adjacent

What is the measure of an angle formed by two chords?

• Half the sum of the measures of the intercepted arcs

• Equal to the measure of the smaller intercepted arc

• Equal to the measure of the larger intercepted arc

• Twice the sum of the measures of the intercepted arcs

What is the measure of arc PQR?

• 270 degrees

• 180 degrees

• 150 degrees

• 90 degrees

What is the exact length of arc PQ?

• π units

• 2π units

• 3π units

• 4π units

What is the area of the shaded sector?

• 54 π square units

• 135 π square units

• 189 π square units

• 324 π square units

What is the measure of angle PLM?

• 195 degrees

• 165 degrees

• 30 degrees

• 15 degrees

Segment HF is a ____ of the circle.

• tangent

• radius

• angle

• diameter