Illustrative Mathematics - Geometry - Unit 7 - Lesson 14

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Last updated about 1 year ago

16 Questions

Which of these pizza slices gives the best value (the most pizza per dollar spent)?

a slice with a radius of 12 inches, central angle of 30o, and a cost of $3 per slice

a slice with a radius of 8 inches, central angle of 45o, and a cost of $2 per slice

a slice with a radius of 6 inches, central angle of \frac{\pi}{4} radians, and a cost of $2 per slice

a slice with a radius of 6 inches, central angle of \frac{\pi}{4} radians, and a cost of $1 per slice

G.C.2

G.C.3

G.SRT.8

G.MG.3

The circle in the image has been divided into congruent sectors.
 What is the measure of the central angle of the shaded region in radians?

G.C.2

G.C.3

G.SRT.8

G.MG.3

In the circle, sketch a central angle that measures \frac{5\pi}{3} radians.

G.C.2

G.C.3

G.SRT.8

G.MG.3

Complete the table. 
Each row represents a circle with a defined sector.

G.C.2

G.C.3

G.SRT.8

G.MG.3

10.

Several circles with central angles are described. Select all the circles for which the central angle defines arcs that have length 6\pi units.

radius 6 units, central angle 180 degrees

radius 12 units, central angle 90 degrees

radius 3 units, central angle 120 degrees

radius 18 units, central angle 60 degrees

radius 4 units, central angle 270 degrees

G.C.2

G.C.3

G.SRT.8

G.MG.3

11.

12.

13.

14.

15.

16.

This lesson is from Illustrative Mathematics. Geometry, Unit 7, Lesson 14. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/7/14/index.html ; accessed 29/July/2021.

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