Unit Test Angles and Segments of a Circle

Front

What is the measure of ∠ ACE formed by two secants intersecting outside of a circle if minor arc BD = 28°, minor arc AB = 112°, and minor arc DE = 112°?

Back

40°

Front

If arc XV = 68° and ∠ YUV = 36°, what is the measure of arc VY?

Back

140°

Front

What best describes segment AB if it is a line segment connecting two points on a circle?

Back

chord

Front

How do you find the arc length of a circle given the angle and radius?

Back

Arc length = (θ/360) * 2πr, where θ is the central angle in degrees.

Front

What is the formula for the area of a sector of a circle?

Back

Area = (θ/360) * πr², where θ is the central angle in degrees.

Front

What is the relationship between the angles formed by two secants intersecting outside a circle?

Back

The measure of the angle is half the difference of the measures of the intercepted arcs.

Front

What is the measure of the arc length if the radius is 6 inches and the central angle is 100°?

Back

Arc length = (100/360) * 2π(6) = 10π/3 inches.

Front

What is the area of a circle with a radius of 6 inches?

Back

Area = πr² = 36π square inches.

Front

What is the measure of the shaded sector of circle O with a radius of 6 inches and a central angle of 100°?

Back

31.4 sq. in.

Front

What is a secant in relation to a circle?

Back

A secant is a line that intersects a circle at two points.