Chapter 11 Toolbox

0.0(0)
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
Card Sorting

1/12

flashcard set

Earn XP

Description and Tags

Geometry & Trigonometry

Study Analytics
Name
Mastery
Learn
Test
Matching
Spaced

No study sessions yet.

13 Terms

1

How do we find the area of a parallelogram?

Area of a parallelogram = base × height

<p>Area of a parallelogram = base × height</p>
2

How do we find the area of a triangle?

Area of a triangle = (base × height)/2

<p>Area of a triangle = (base × height)/2</p>
3

How do we find the area of a trapezoid?

Area of a trapezoid = ½ × height × (base1 + base2)

<p>Area of a trapezoid = ½ × height × (base1 + base2)</p>
4

How do we find the area of a rhombus?

Area of a rhombus = ½ × (diagonal1 × diagonal2)

<p>Area of a rhombus = ½ × (diagonal1 × diagonal2) </p>
5

How do we find the area of a kite?

The same way we find the area of a rhombus!

Area of a kite = ½ × (diagonal1 × diagonal2)

<p>The same way we find the area of a rhombus! </p><p></p><p>Area of a kite = ½ × (diagonal1 × diagonal2) </p>
6

How do we find the area of a circle?

Area of a circle = π × radius²

<p>Area of a circle = π × radius² </p>
7

What is a “sector” in a circle?

A sector is a part of the circle defined by two radii and the arc between them. In other words, it is a “slice” of the circle.

<p>A sector is a part of the circle defined by two radii and the arc between them. In other words, it is a “slice” of the circle.</p>
8

How do we find the area of a circle’s sector?

Area of a sector = πr² × (angle/360)

<p>Area of a sector = πr² × (angle/360)</p>
9

What is an apothem?

A line drawn from the center to the side of a regular polygon.

*Remember, a “regular” polygon has congruent sides and angles.

<p>A line drawn from the center to the side of a regular polygon.</p><p></p><p><em>*Remember, a “regular” polygon has congruent sides and angles.</em></p>
10

How do we find the central angle of a regular polygon?

360/n

*n = the number of sides of the polygon

<p>360/n </p><p></p><p><em>*n = the number of sides of the polygon</em></p>
11

How do we calculate the area of a regular polygon?

A = ½×a×P

*a = apothem

*P = perimeter

12
<p>How would I approach finding the area of a figure like this?</p>

How would I approach finding the area of a figure like this?

Consider dividing the figure up into shapes you KNOW how to find the area of. For example, this shape can be divided into a rectangle and a triangle to find the area.

<p>Consider dividing the figure up into shapes you KNOW how to find the area of. For example, this shape can be divided into a rectangle and a triangle to find the area.</p>
13
<p>How could we find the area of the green-shaded region?</p>

How could we find the area of the green-shaded region?

We could find the area of the circle, find the area of the trapezoid, and then subtract the trapezoid away from the circle.

<p>We could find the area of the circle, find the area of the trapezoid, and then subtract the trapezoid away from the circle.</p>