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Match each diagram showing a sector with the measure of its central angle in radians.
diagram A
diagram B
diagram C
diagram D
diagram E
diagram F
In the circle, sketch a central angle that measures
Angle
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.
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.
Circle A
Circle B
Circle A
Circle B
Select all true statements.
The sector in Circle B has a larger area than the sector in Circle A.
Not taking into account the sectors, Circle A and Circle B are similar.
The fraction of the circumference taken up by the arc outlining the sector in Circle A is smaller than the fraction of the circumference taken up by the arc outlining the sector in Circle B.
The ratio of the area of Circle A’s sector to its total area is
The ratio of Circle A’s area to Circle B’s area is
Match each arc length and radius with the measure of the central angle that defines the arc.
arc length
arc length
arc length
arc length
angle: 30 degrees
angle: 72 degrees
angle: 135 degrees
angle: 180 degrees
Quadrilateral
Angle
The measures of angle
Angle
Angle
Angle