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3 years ago

The interior angles in a regular polygon are 140 degrees. How many sides has the polygon?

Mathematics

2 answers:

Wittaler [7]3 years ago

8 0

$180^o-140^o=40^o\\\\360^o:40^o=9\\\\Answer:This\ a\ regular\ polygon\ has\ 9\ sides.$

Rasek [7]3 years ago

6 0

Yes, it certainly could ! When you first noticed that formula in a book, or when it was given to you in class, did you also notice or learn what it means ?

It means
"The sum of all the interior angles in a polygon" = (number of sides - 2) x 180.

Triangle ........ 3 sides ... (3 - 2) = 1 x 180 = 180° degrees ... 60° each if regular
Quadrilateral . 4 sides ... (4 - 2) = 2 x 180 = 360° degrees ... 90° each if regular
Pentagon ...... 5 sides ... (5 - 2) = 3 x 180 = 540° degrees ... 108° each if regular
Hexagon ....... 6 sides ... (6 - 2) = 4 x 180 = 720° degrees ... 120° each if regular
Sevenagon ... 7 sides ... (7 - 2) = 5 x 180 = 900° degrees ... 128 and 4/7 each if regular
Octagon ........ 8 sides ... (8 - 2) = 6 x 180 = 1080° degrees ... 135° each if regular
Nonagon ....... 9 sides ... (9 - 2) = 7 x 180 = 1260° degrees ... 140° each if regular

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butalik [34]

$Area =113.0ft^2$ . Correct option is D) 113.0 ft² .

<u>Step-by-step explanation:</u>

Here we have , A circle labeled with radius = 6 ft . We need to find the best approximation for the area of this circle . Let's find out:

We know that area of circle = $\pi r^2$ , We have following parameters as

$Radius = r = 6 ft\\\pi = 3.14\\Area= \pi r^2 = ?$

So , Area of circle is

⇒ $Area =\pi r^2$

⇒ $Area =(3.14) (6)^2$

⇒ $Area =(3.14) (36)^$

⇒ $Area =113.04ft^2$

On Rounding off

⇒ $Area =113.0ft^2$

Therefore , $Area =113.0ft^2$ . Correct option is D) 113.0 ft² .

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alexgriva [62]

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Paraphin [41]

Answer:

im sorry but there is no picture?

Step-by-step explanation:

send the picture ill try and help

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