What radius of a circle is required to inscribe a regular hexagon with an area of 166.28 in2 and an apothem of 6.928 in?

2 answers:

7 0

If you want to inscribe a polygon inside a circle, you have a formula that doesn't have to use the apothem. The formula is:

A = (nr²/2)sin(360/n)

Since the polygon is a hexagon, it has 6 sides. Thus, n = 6. Knowing the area, we can determine the radius of the circle, r.

166.28 = (6r²/2)sin(360/6)
r = 8 inches

Thus, the radius of the circle is 8 inches.

tresset_1 [31]3 years ago

7 0

Answer:8

Step-by-step explanation:

You might be interested in

Use a proportion to convert 28 quarts to gallons.

mamaluj [8]

Answer:

28 quarts = 7 gallons

Step-by-step explanation:

5 0

2 years ago

40 points please help

Lera25 [3.4K]

answer:

im not sure. what is ur question

step-by-step explanation:

4 0

3 years ago

A jar contains 900 beans. Of them, 700 are white beans and the rest are navy beans. What ratio of white beans to all the beans

Nikolay [14]

Answer:

700/900

Step-by-step explanation:

There are 900 beans in total.

There are 700 white beans

The ratio of white beans to all the beans is 700/900 or 700:900

5 0

2 years ago

Andrea has some money. Her brother gives her 7 coins worth 23 cents and now she has 73 cents. If she started with 5 coins, what

Nat2105 [25]

Andrea had 5 coins worth 50 cents ! And , thereafter her brother gave her 7 coins worth 23 cents .

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

Here we have , Andrea has some money. Her brother gives her 7 coins worth 23 cents and now she has 73 cents. If she started with 5 coins, We need to find what coins did Andrea's brother give her and what coins did Andrea start with. Let's find out:

Andrea has some money , and her brother gives her 7 coins ! worth 23 cents . So , 1 coin worth is :

⇒ $\frac{23}{7}$