Question

a circle has a radius of 6 in. The inscribed equilateral triangle will have an area of?

Answer 1

ok. i got it

Answer 2

Helpmeeeeee

Answer 3

Each edge of the equilateral triangle is a equal sized chord of the circle.

central angle of 120

Answer 4

now what is the formula for chord length?

Answer 5

there are 2 ways of doing this

Answer 6

umm...

Answer 7

k heres the easier way

Answer 8

use a dbl integreal lol.

Answer 9

Ohh my radius...

Answer 10

Split the equilateral triangle into 3 separate isosceles tri

Answer 11

i need some paper. gimmi a tic

Answer 12

good!

Answer 13

IM GETTING THIS.

Answer 14

In each isosceles triangle there is then one 120 ° angle and two 30 ° angles.
Equal sides are 6 in long

Answer 15

with a polar coordinate system :D

Answer 16

ohh that's right.

Answer 17

Hush timo, you're making it complicated >:(

Answer 18

now just use co-sine rule

Answer 19

xD

Answer 20

SIK!

Answer 21

tell me wat u get

Answer 22

ugh, law of cosines?

Answer 23

that is what awaits you in calc 3! MUAHAHA!

Answer 24

@Jhannybean

Answer 25

yep

Answer 26

i stop maths after 2nd yr.

Answer 27

kk use cosine rule

Answer 28

cosine rue....lemme look that up really fast. DONT SAY IT.

Answer 29

haha ok

Answer 30

\[\large c^2 = a^2 +b^2 -2abcos(C)\]\[\large c^2 = 6^2 +6^2 -2(6)(6)\cos(120)\]\[\large c = \sqrt{6^2+6^2 -2(36)(\cos(120))}\]\[\large C \approx 10.40\]