Illustrative Mathematics - Geometry - Unit 7 - Lesson 12 - Formative Library | Library

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1.

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

		\frac{3\pi}{2}
		\pi
		\frac{\pi}{3}
		\frac{\pi}{2}
		2\pi
		\frac{2\pi}{3}

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2.

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

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3.

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?

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4.

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.

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5.

The ratio of circle A’s area to circle B’s area is \frac{5}{9}.

The fraction of the circumference taken up by the arc outlining circle A’s sector is smaller than the fraction of the circumference taken up by the arc in circle B.

Not taking into account the sectors, circle A and circle B are similar.

The sector in circle B has a larger area than the sector in circle A.

The ratio of the area of circle A’s sector to its total area is \frac{1}{6}.

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6.

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

		angle: 30 degrees
		angle: 72 degrees
		angle: 135 degrees
		angle: 180 degrees

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7.

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

Angle D measures 40 degrees.

The measures of angle A and angle D must add to 180 degrees.

Angle A measures 55 degrees.

Angle D measures 55 degrees.

Angle A measures 140 degrees.

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This lesson is from Illustrative Mathematics. Geometry, Unit 7, Lesson 12. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/7/12/preparation.html ; accessed 29/July/2021.

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