High School Math : High School Math

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #2 : How To Find The Perimeter Of A Hexagon

What is the perimeter of a regular hexagon with a side length of ?

Possible Answers:

Correct answer:

Explanation:

To find the perimeter of a regular hexagon you must first know the number of sides in a hexagon which is .

When you know the number of sides of a regular polygon to find the perimeter you must multiply the side length by the number of sides.

In this case it is 

The answer for the perimeter is .

Example Question #1 : How To Find The Perimeter Of A Hexagon

This figure is a regular hexagon with one side measuring 6 cm.Hexagon

What is the perimeter of the regular hexagon in centimeters?

Possible Answers:

Correct answer:

Explanation:

The perimeter of a regular hexagon is just the sum of all 6 sides.  Because it's a regular hexagon, the perimemter is just six times one side (6 cm) or 36 cm.

Example Question #1 : How To Find The Length Of The Diagonal Of A Hexagon

What is the length of a diagonal of a regular hexagon with side length ?

Possible Answers:

Correct answer:

Explanation:

Regular hexagons are comprised of six equilateral triangles; in our question, these triangles each have side length 4 (see diagram).

Hectagon

The length of a diagonal is equal to two times the length of the side. In this instance, the answer is 8.

Example Question #3 : Hexagons

How many diagonals are there in a regular hexagon?

Possible Answers:

Correct answer:

Explanation:

A diagonal is a line segment joining two non-adjacent vertices of a polygon.  A regular hexagon has six sides and six vertices.  One vertex has three diagonals, so a hexagon would have three diagonals times six vertices, or 18 diagonals.  Divide this number by 2 to account for duplicate diagonals between two vertices. The formula for the number of vertices in a polygon is:

where .

Example Question #12 : Geometry

How many diagonals are there in a regular hexagon?

Possible Answers:

10

9

3

6

18

Correct answer:

9

Explanation:

A diagonal connects two non-consecutive vertices of a polygon.  A hexagon has six sides.  There are 3 diagonals from a single vertex, and there are 6 vertices on a hexagon, which suggests there would be 18 diagonals in a hexagon.  However, we must divide by two as half of the diagonals are common to the same vertices. Thus there are 9 unique diagonals in a hexagon. The formula for the number of diagonals of a polygon is:

where n = the number of sides in the polygon.

Thus a pentagon thas 5 diagonals.  An octagon has 20 diagonals.

Example Question #1 : Adding And Subtracting Fractions

Simplify 

Possible Answers:

Correct answer:

Explanation:

Find the least common denominator (LCD) and convert each fraction to the LCD and then add.  Simplify as necessary.

The result is an improper fraction because the numerator is larger than the denominator and can be simplified and converted to a mix numeral.

Example Question #1 : How To Find An Angle In A Hexagon

Hexagon1

Possible Answers:

210

190

200

180

170

Correct answer:

190

Explanation:

Hexagon2Hexagon3

Example Question #1 : How To Find An Angle In A Hexagon

If a triangle has 180 degrees, what is the sum of the interior angles of a regular octagon?

Possible Answers:

Correct answer:

Explanation:

The sum of the interior angles of a polygon is given by  where  = number of sides of the polygon.  An octagon has 8 sides, so the formula becomes

Example Question #531 : Plane Geometry

What is the measure of an interior angle of a regular hexagon?

Possible Answers:

Correct answer:

Explanation:

The measure of an internal angle of an regular polygon can be determined using the following equation, where  equals the number of sides:

 

Example Question #1 : Mathematical Relationships And Basic Graphs

Simplify .

Possible Answers:

Correct answer:

Explanation:

Chenge the mixed numbers into improper fractions by multiplying the whole number by the denominator and adding the numerator to get

.

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