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3 years ago

Find the area of the regular polygon below and round your answer to the nearest hundredth.

Mathematics

1 answer:

djyliett [7]3 years ago

3 0

The central angle of each sector is 360°/8 = 45°, so the central angle between a vertex and the apothem is half that, 22.5°. The length of half a side will be
s/2 = (2 ft)*tan(22.5°) ≈ 0.828427 ft
The area of each of the 8 sectors will be this multiplied by the apothem (2 ft), so is 1.6568 ft². The total area of the 8 sectors is then
8*1.6568 ft² ≈ 13.25 ft²

You might be interested in

Use the following ordered pairs

Lynna [10]

The ordered pair for Y is (-4,-2)

Step-by-step explanation:

Given

X(-2,3)

Z(-6,-7)

As Y is the mid-point of XZ, it will divide Xz in two equal segments. Y is the mid-point of the segment.

Let (x_Y, y_Y) be the coordinates of the mid-point

Then

$(x_Y, y_Y) = (\frac{x_1+_2}{2} , \frac{y_1+y_2}{2})$

Putting the values

$=(frac{-2-6}{2} , \frac{3-7}{2})\\=(\frac{-8}{2} , \frac{-4}{2})\\=(-4, -2)$

Hence,

The ordered pair for Y is (-4,-2)

Keywords: Coordinate geometry, Mid-point

Learn more about coordinate geometry at:

#LearnwithBrainly

3 0

3 years ago

How do you Simplify 16/12

vlada-n [284]

You need to find a common factor that both the numerator and denominator have. 16 and 12 have common divisible factors of 2 and 4(excluding 1, because 1 is self-defined but doesn't simplify values at all).

We use the highest factor, in this case, 4.

Divide 16 by 4 and 12 by 4.

16/4 = 4
12/4 = 3

We put 4 in place of the numerator and 3 in place of the denominator.

$\frac{4}{3}$

4 0

3 years ago

Read 2 more answers

You are starting your own business and decided to take out a simple interest loan for 10,000 from your local bank. The interest

MAVERICK [17]

I think it’s 51.6% because 8.3% interest at the rate of 6 years is just 8.3 multiplied by 6 which is 51.6

7 0

2 years ago

What is the volume of the right prism?

Serggg [28]

We know that:
$V = l \times w \times h$

Substituting known values, we have:
$V= 4ft \times 4ft \times 15ft$
$V= 240ft^{3}$

6 0

3 years ago

What is the average of 1/2 and 1/3

nadya68 [22]

Hi there!

In order to fin the average, you need to add all the terms together and then divide the result by the number of terms :

( $\frac{1}{2} + \frac{1}{3}$ ) ÷ 2 = average

Now, I’m assuming that you know that in order to add fractions, both fractions must have the same denominator (bottom number in a fraction). Since these fractions do not have the same denominator, we must give them one.

To find the lowest common denominator (which will help us solve this problem), we must find out what 2 & 3 go into. Well, both numbers go into 6!

So, if the denominator is now 6, you must multiply the numerator (numbers about the “/” line in this case are both 1) by how much you multiplied its denominator by.

For 1/2, you multiplied 2 by 3 to get 6. Therefore, you must multiply the 1 by 3 aswell.

for 1/3, you multiplied 3 by 2 to get 6. Therefore, you must multiply the 1 by 2.

and now you have 3/6+2/6 since the denominators are the same, you can add the numerators normally which gives you 5/6

$\frac{5}{6}$ ÷ 2 = $\frac{5}{12}$

Your answer is : $\frac{5}{12}$

There you go! I really hope this helped, if there's anything just let me know! :)

3 0

3 years ago