Geometry Circle Radian

What is the branch of mathematics that deals with shapes, angles, dimensions, and sizes?

What is the unit of measure for angles?

Match each diagram showing a sector with the measure of its central angle in radians.

Angle $$AOC$$ has a measure of $$\frac{5\pi}{6}$$ radians. The length of arc $$AB$$ is $$2\pi$$ units and the radius is 12 units. What is the area of sector $$BOC$$ ?

Calculate the radian measure of a 30 degree angle. Use any method you like, including sketching in the circle diagram provided. Explain or show your reasoning.

In the circle, sketch a central angle that measures $$\frac{2\pi}{3}$$ radians.

Lin thinks that the central angle in circle A is congruent to the central angle in circle B. Do you agree with Lin? Show or explain your reasoning.

Select all true statements.

Quadrilateral $$ABCD$$ is shown with the given angle measures. Select all true statements.

Match each arc length and radius with the measure of the central angle that defines the arc.