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klasskru [66]
3 years ago
11

How to find the central angle of a regular polygon

Mathematics
1 answer:
Annette [7]3 years ago
3 0

Answer:

I hope this helps

Step-by-step explanation:

Central angle of a regular polygon:

The central angle of a polygon is the angle made at the center of a polygon by any two adjacent vertices as shown in the figure below.

In the above figure, the angles a, b, c, d, e and f are the central angles of the hexagon. There are 6 central angles in a hexagon. The number of central angles in a polygon is always equal to the number of sides of the polygon.

As you can see in the figure above, all the central angles of the polygon together will always form a complete circle. Hence the central angles add up to 360° in all polygons. Since a regular polygon has all equal sides, the central angles in a regular polygon are also equal.

So to find the measure of the central angles of a regular polygon follow the steps below:

First identify the number of sides ‘n’.

Then divide 360° by n.

For example: say you need to find the central angle of a regular pentagon.

First identify the number of sides ‘n’: here n = 5

Then divide 360° by n: 360° ÷ 5 = 72°.

Conversely, you can also find the number of sides of a regular polygon, when the central angle is given, by dividing 360 by the central angle.

Note: In the case of an irregular polygon, since there is no clear center for an irregular polygon, it has no central angle.

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5 0
3 years ago
I have a 79.43 and if I add 10% would it raise it to 80% grade wise
Nezavi [6.7K]

Answer:

87 grade

Step-by-step explanation:

if yo add a 10% overall grade to you 79.43 you will get an 87.373

79.43 x 10% = 7.943 (points added bc of your 10%added)

79.43 + 7.943 = 87.373

round it and you'll have 87 overall grade

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2 years ago
Solve using a numberline
kobusy [5.1K]
So what's the problem?
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3 years ago
Find the value of 3u-8 given that -7u + 9=2
bulgar [2K]

Answer:

-5

Step-by-step explanation:

-7u+9=2

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-7u=-7

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8 0
3 years ago
Read 2 more answers
Solve inequality: -6x < 36
7nadin3 [17]

Answer:

x>−6

Step-by-step explanation:

-6x<36

Multiply both sides by -1. ( reverse the inequality )

(-6x) (-1) > 36 (-1)

Simplify

6x > -36

Divide both sides by 6

6x divided by 6        -36 divided by 6

Simplify

x> -6

Hope this helped

6 0
3 years ago
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