Question

Find the value of x to the nearest tenth.

Answer 1

The Diameter is given to you as 20, so the radius is 10 because

r = d/2
r=20/2
r=10

It's half of the circle.

Wait sorry I thought I knew where I was going with this problem XD

Is there a formula to find the answer?

Answer 2

not that im aware

Answer 3

Lol there has got to be or else you can't solve the problem.

Unless you are only supposed to expropriate . . .

I believe what you are trying to find is known as a "Chord"
I'm doing some research on it right now.

Answer 4

im lost on this whole topic tbh

Answer 5

Chord length = 2rsin(c/2)

A chord is when it touches the center line of the circle, and then juts out in a different direction.

Answer 6

r = 10
20sin(c/2)

Answer 7

C represents the angle
The angle in this question is 90 degrees

Answer 8

20sin(45)

= 20(sqrt2/2)
= 20sqrt(2)/2
=10sqrt(2)

Does that look at all familiar to you?

Answer 9

eh kinda

Answer 10

Okay good. I'm hoping that i'm on the right track too Xd

Does it make sense to you that sin(45) = sqrt(2)/2?

Answer 11

What I might be wrong about is the angle, but I feel confident with that. Let me know if you need any more help.

Answer 12

i just dont understand how i am supposed to find the value for x here :/

Answer 13

Okay, now remember, I'm iffy about this problem too Xd
If you take the radius of 10sqrt(2), you get 5sqrt(2)

You now have two sides of a triangle

a^2 + b^2 = c^2
5sqrt(2)^2 + b^2 = 10^2

Solve for b, and that is your x. Sorry I have to go.

Answer 14

Get the idea?

Answer 15

kinda

Answer 16

yes ok

Answer 17

\[a ^{2} + b ^{2} = c ^{2}\]
\[x ^{2} + 8 = 10\]

Can you solve this now?

Answer 18

x=6

8^2+B^2=10^2
64+B^2=100
-64 -64
B^2=36
\[\sqrt b^2=\sqrt 36\]
b=6

Answer 19

Oh yea, i forgot to put the ^2 with 8 and 10...

\[a ^{2} + b ^{2} = c ^{2}\]
\[x ^{2} + 8^{2} = 10^{2}\]
\[x ^{2} + 64 = 100\]
\[x ^{2} = 100 - 64\]
\[x ^{2} = 36\]
\[\sqrt{x} ^{2} = \sqrt{36}\]
\[x = 6\]

LOL Srry, i just have a habit of doing everything myself in the end to be sure :P

Answer 20

thanks