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Laabri

Illustrative Mathematics - Geometry - Unit 7 - Lesson 11

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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Here is a central angle that measures 1.5 radians.

Select all true statements.

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2.

Match each arc length l and radius r with the measure of the central angle of the arc in radians.

Draggable itemarrow_right_altCorresponding Item

r=4,l=3

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\frac{\pi}{5} radians

r=3.5,l=2.8

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\frac{2}{3} radians

r=5,l=\pi

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0.75 radians

r=3,l=2

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\frac{\pi}{4} radians

r=2,l=\frac{\pi}{2}

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0.8 radians

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Han thinks that since the arc length in circle A is longer, its central angle is larger.

Do you agree with Han? Show or explain your reasoning.

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11.
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12.

A circle has radius 8 units, and a central angle is drawn in. The length of the arc defined by the central angle is 4\pi units.

Find the area of the sector outlined by this arc.

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Clare is trying to explain how to find the area of a sector of a circle. She says, “First, you find the area of the whole circle. Then, you divide by the radius.“

Do you agree with Clare? Explain or show your reasoning.

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Line BD is tangent to a circle with diameter AB.

List 2 right angles.

This lesson is from Illustrative Mathematics. Geometry, Unit 7, Lesson 11. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/7/11/index.html ; accessed 29/July/2021.

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