Angles and Area in a Polygon

Authored by Amanda Ethridge

Mathematics

9th - 12th Grade

Used 3+ times

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9 questions

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MATCH QUESTION

15 mins • 1 pt

Match the following.

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

one interior angle measure of a regular polygon

$\frac{360\degree}{n}$

the number of sides of a regular polygon

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

sum of the interior angle measure

sum of the exterior angle measure

$360\degree$

one exterior angle measure of a regular polygon

Answer explanation

Be sure to add your formulas to your formula sheet. "n" represents the number of sides.

FILL IN THE BLANKS QUESTION

15 mins • 1 pt

What is the sum of the measures of the interior angles of a 27-gon in degrees?

(a)

Answer explanation

$interior\ angle\ sum\ =\left(n-2\right)180\degree$
$\left(27-2\right)180\degree$
$25\ triangles\times180\degree$

FILL IN THE BLANKS QUESTION

15 mins • 1 pt

What is the measure of EACH interior angle of a regular 20-gon in degrees?

(a)

Answer explanation

$one\ interor\ angle\ =\ \frac{\left(n-2\right)180\degree}{n}$
$n=20\ so,\ \frac{\left(20-2\right)180\degree}{20}$

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The sum of the interior angles of a polygon is $1620\degree$ . How many sides does the polygon have?

Answer explanation

$1620\degree=\left(n-2\right)180\degree$
$\frac{1620\degree}{180\degree}=n-2$
$9=n-2$
$n=11$

DRAG AND DROP QUESTION

15 mins • 1 pt

To find the area of a regular polygon, we divide it into equal (a)

squares

trapezoids

triangles

circles

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

The formula for finding the area of a triangle is ______

A = $b\ \times h$

A = $\frac{b\ \times\ h}{2}$

A = $\frac{1}{2}$ $\left(b_{1\ }+\ b_2\right)\ h$

A = $S\ ^2$

MULTIPLE CHOICE QUESTION

15 mins • 2 pts

Find the area

96 cm²

48 cm²

36 cm²

48 cm

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Angles and Area in a Polygon

Match the following.

Be sure to add your formulas to your formula sheet. "n" represents the number of sides.

What is the sum of the measures of the interior angles of a 27-gon in degrees?

(a)

$interior\ angle\ sum\ =\left(n-2\right)180\degree$
$\left(27-2\right)180\degree$
$25\ triangles\times180\degree$

What is the measure of EACH interior angle of a regular 20-gon in degrees?

(a)

$one\ interor\ angle\ =\ \frac{\left(n-2\right)180\degree}{n}$
$n=20\ so,\ \frac{\left(20-2\right)180\degree}{20}$

The sum of the interior angles of a polygon is $1620\degree$ . How many sides does the polygon have?

$1620\degree=\left(n-2\right)180\degree$
$\frac{1620\degree}{180\degree}=n-2$
$9=n-2$
$n=11$

To find the area of a regular polygon, we divide it into equal (a)

The formula for finding the area of a triangle is ______

Find the area

What is the PERIMETER of this hexagon?

Find the area of the regular polygon

Access all questions and much more by creating a free account

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Discover more resources for Mathematics

Angles and Area in a Polygon

Match the following.

Be sure to add your formulas to your formula sheet. "n" represents the number of sides.

What is the sum of the measures of the interior angles of a 27-gon in degrees? (a)

interior angle sum =(n−2)180°interior\ angle\ sum\ =\left(n-2\right)180\degreeinterior angle sum =(n−2)180° (27−2)180°\left(27-2\right)180\degree(27−2)180° 25 triangles×180°25\ triangles\times180\degree25 triangles×180°

What is the measure of EACH interior angle of a regular 20-gon in degrees? (a)

one interor angle = (n−2)180°none\ interor\ angle\ =\ \frac{\left(n-2\right)180\degree}{n}one interor angle = n(n−2)180°​ n=20 so, (20−2)180°20n=20\ so,\ \frac{\left(20-2\right)180\degree}{20}n=20 so, 20(20−2)180°​

The sum of the interior angles of a polygon is 1620°1620\degree1620° . How many sides does the polygon have?

1620°=(n−2)180°1620\degree=\left(n-2\right)180\degree1620°=(n−2)180° 1620°180°=n−2\frac{1620\degree}{180\degree}=n-2180°1620°​=n−2 9=n−29=n-29=n−2 n=11n=11n=11

To find the area of a regular polygon, we divide it into equal (a)

The formula for finding the area of a triangle is ______

Find the area

What is the PERIMETER of this hexagon?

Find the area of the regular polygon

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

What is the sum of the measures of the interior angles of a 27-gon in degrees?

(a)

$interior\ angle\ sum\ =\left(n-2\right)180\degree$
$\left(27-2\right)180\degree$
$25\ triangles\times180\degree$

What is the measure of EACH interior angle of a regular 20-gon in degrees?

(a)

$one\ interor\ angle\ =\ \frac{\left(n-2\right)180\degree}{n}$
$n=20\ so,\ \frac{\left(20-2\right)180\degree}{20}$

The sum of the interior angles of a polygon is $1620\degree$ . How many sides does the polygon have?

$1620\degree=\left(n-2\right)180\degree$
$\frac{1620\degree}{180\degree}=n-2$
$9=n-2$
$n=11$