Question

The area of a regular hexagon inscribed in a circle with radius 5 is _____?
. Round your answer to the nearest whole number.
pl help me

Answer 1

@AZ

Answer 2

so we have a hexagon inscribed in a circle

Answer 3

ok

Answer 4

the radius is 5

Answer 5

ok

Answer 6

since it's a regular hexagon, that means the the angles inside when you divide it up will be 60

and so you can see that the sides of a regular hexagon inscribed in a circle will have the same length as the radius

so the length of hexagon sides = radius of circle

Answer 7

so 25

Answer 8

no

Answer 9

do you know hwo to find the area of a triangle?
lol, sorry for being blunt

Answer 10

ok is it 64.95

Answer 11

*shrug, i'm terrible at shapes
AZ will come lol

Answer 12

I doubt you know the formula for a hexagon but let's look at the triangles

the hexagon is made up of 6 triangles

each triangle is a 60-60-60 triangle so the area of an equilateral triangle is

area = \(\dfrac{\sqrt{3}}{4}s^2\)

let's find the area of one triangle

so if the side is 5, what is the area of one triangle?

Answer 13

okay, maybe we need to do it step by step?

s is for side

so what is 5^2 or 5*5

Answer 14

5*2 is 10 and 5*5 is 25

Answer 15

no no

5^2 is \( 5^2\) which is 5 * 5

so yes that's 25

Answer 16

ok

Answer 17

so now we have

area = \(\dfrac{\sqrt{3}}{4} \times 25\)

can you pull out your calculator and multiply and divide those numbers?

Answer 18

remember, that's going to be the area of only one triangle, we'll have to multiply whatever number we get by 6 to find the area of the entire hexagon

Answer 19

how eacxcly do i put that in a caculater

Answer 20

sqrt (3) times 25 divided by 4

Answer 21

or you could even Google

https://www.google.com/search?q=sqrt(3)+*+25%2F4

Answer 22

i think i got it isnt it -47

Answer 23

where did you get a negative number from? how even

Answer 24

idk thats what it said on the cocculater

Answer 25

press on his link

Answer 26

what do you get

I really don't know how to teach someone how to use a calculator

Answer 27

it said 10.8253175473

Answer 28

yes

that's the area for one triangle

now multiply that number by 6 because we cut up our hexagon into 6 triangles, remember?

Answer 29

so basically 6 * 10.8253175473

Answer 30

ok 64.9519052838

thats what i got

Answer 31

now round it to the nearest whole number

Answer 32

64.95

Answer 33

*whole number

Answer 34

whole number

Answer 35

is 64.95 closer to 65 or 64

64 and 65 are whole numbers

Answer 36

whole numbers are numbers you can count on your finger

Answer 37

idk i not smart like yall jeez

Answer 38

never said i was smart-_-

Answer 39

is 64.95 closer to 65

or 64

if you have 95 cents

is that closer to 1 dollar or 0 dollars

Answer 40

1 dollar

Answer 41

so similarly

is 64.95 closer to 65 or to 64

Answer 42

65

Answer 43

there you go!