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9-12 Geometry Unit 4 Lesson 12

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K-5 Math 6-8 Math •9-12 Math

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Algebra 1 •Geometry Algebra 2 Extra Support Materials for Algebra 1

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Unit 1 Unit 2 Unit 3 •Unit 4 Unit 5 Unit 6 Unit 7 Unit 8

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Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 •Lesson 12

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Algebra 1
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Algebra 2
Extra Support Materials for Algebra 1

Integrated Math 1
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Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8

Modeling Prompts

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12

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Unit 4, Lesson 12

Approximating Pi

Geometry

Practice

Problem 1

Technology required. A regular pentagon has side length 7 inches.

What is the perimeter of the pentagon?
What is the area of the pentagon?

Problem 2

Technology required. The expression approximates by giving the perimeter of a regular polygon inscribed in a circle with radius 1.

What does stand for in the expression?
If there are 60 sides, what is the difference between the perimeter and

Problem 3

ForLesson 11: Solving Problems with Trigonometry

Technology required. A regular hexagon has side length 2 inches.

What is the perimeter of the hexagon?
What is the area of the hexagon?

Problem 4

ForLesson 11: Solving Problems with Trigonometry

An airplane travels 125 miles horizontally while it descends 9 miles vertically.

What is the angle of descent?
What is the distance of the plane’s path?

Problem 5

ForLesson 10: Using Trigonometric Ratios to Find Angles

Select all true statements.

<p>Right triangle A B C. Side A B is 5 units, B C is 12. Angle B A C labeled alpha, angle A C B labeled theta.</p>

units
units

Problem 6

ForLesson 8: Sine and Cosine in the Same Right Triangle

Write 2 equations using sine and 2 equations using cosine based on triangle .

<p>Right triangle ABC. Angle C = 90 degrees. Angle B = 66 degrees. Angle A = 24 degrees. AB = 7. BC = y. AC = x.</p>

Problem 7

ForLesson 3: Half an Equilateral Triangle

An equilateral triangle has area of square units. What is the side length?