Polygon Area

Presentation

•

Mathematics

•

11th Grade

•

Hard

•

CCSS

6.G.A.1, 2.G.A.1, 8.G.B.8

Standards-aligned

Tom Giles

Used 4+ times

FREE Resource

6 Slides • 17 Questions

Polygon Area & Angles

Dr. Tom Giles

Angles & Areas of Polygons

Learning Target: I can calculate angle measures and the area of polygons.

What can we calculate?

Exterior Angle Sum
One Exterior Angle
Interior Angle Sum
One Interior Angle
Central Angle
Area of a Polygon

Multiple Choice

Which option shows the formula to solve for a polygon's angle sum?

$180n$

$180\left(n-2\right)$

$\left(180-2\right)n$

$\frac{180\left(n-2\right)}{n}$

Multiple Choice

What is the SUM of the angle measures in a nonagon (9 sides)?

1440°

900°

1080°

1260°

Multiple Choice

Find the value of X. (Use your knowledge of angle sum to set up an equation and solve.)

100

120

125

130

One interior angle

If we can solve for the angle sum, we can also find one angle
This works for regular polygons

Multiple Select

What is a regular polygon? (choose all that apply)

all side lengths are the same length

only some angles are the same

only some side lengths are the same

all side lengths are different

all angles are the same (equal in measure)

One interior Angle

Find the angle sum using the formula
Divide by the number of angles (the same as the number of sides)

Multiple Choice

Which option shows the formula to solve for ONE interior angle of a polygon?

$180n$

$180\left(n-2\right)$

$\left(180-2\right)n$

$\frac{180\left(n-2\right)}{n}$

Multiple Choice

Find the measure of one interior angle of this regular nonagon. Round your answer to the nearest tenth if necessary.

Multiple Choice

Find the measure of one interior angle in the regular 11-gon. Round your answer to the nearest tenth if necessary.

Multiple Choice

Find the measure of one interior angle in the regular pentagon. Round your answer to the nearest tenth if necessary.

Determining Area of Polygons

Step 1 : split your polygon into triangles
Step 2: Find one angle (interior or central)
Step 3: Use trig to find missing side(s)
Step 4: Find area of the triangle
Step 5: Multiply by the number of triangles

Multiple Choice

What would be the first step in finding the area of the pentagon?

draw in traingles

calculate the length of the side

calculate the length of the radius

find the angle measure

Fill in the Blanks

Type answer...

Multiple Choice

What would be the next step in finding the area of the pentagon?

draw in the apothem

calculate the length of the side

calculate the length of the radius

find the angle measure

Fill in the Blanks

Type answer...

Multiple Choice

What method do you use to solve for the missing sides?

Pythagorean Theorem

Addition

Trig

Open Ended

The next step is finding the missing side lengths. Write your side lengths below.

Type response here

Fill in the Blanks

Type answer...

Multiple Choice

What is the last step in solving for the area of the polygon?

Find the perimeter.

Multiply by the number of triangles.

Nothing, you're done.

Open Ended

What is your final area?

Type response here

Polygon Area & Angles

Dr. Tom Giles

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