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Mathematics 14 Online
Scarlet23:

Find each arc length. Round to the nearest hundredth.

Scarlet23:

snowflake0531:

So we first have to find the degree measure of it, get that over 360s, get the circumference of the circle, and get the arc length e.e So first find the degree measure of MKL

snowflake0531:

We know that MKL is a straight line plus KL So what is KL Remember that KL + KJ = 90

Scarlet23:

90 or 270

snowflake0531:

... JL is 90 degrees, JK is 52 degrees, what is KL

snowflake0531:

JL = JK + KL JL = 90 JK = 52 What is KL

Scarlet23:

142

snowflake0531:

...

snowflake0531:

Plug the values of JL and JK into JL = JK + KL find KL e.e

snowflake0531:

look at the diagram---

Scarlet23:

im lost

snowflake0531:

What grade are you in?

Scarlet23:

11th

snowflake0531:

Then you should know how to plug in values \(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 JL = JK + KL JL = 90 JK = 52 What is KL \(\color{#0cbb34}{\text{End of Quote}}\)

Scarlet23:

you say that KL and KJ = 90

snowflake0531:

... I say JL = JK + KL

Scarlet23:

no before this

snowflake0531:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 ... JL is 90 degrees, JK is 52 degrees, what is KL \(\color{#0cbb34}{\text{End of Quote}}\) \(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 Plug the values of JL and JK into JL = JK + KL find KL e.e \(\color{#0cbb34}{\text{End of Quote}}\) \(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 We know that MKL is a straight line plus KL So what is KL Remember that KL + KJ = 90 \(\color{#0cbb34}{\text{End of Quote}}\) when did i say they were 90 degrees each

Scarlet23:

104?

snowflake0531:

...bro.... you're in 11th grade, do you now know how to find x when you have an equation?..... simple subtraction... \(\color{#0cbb34}{\text{Originally Posted by}}\) @snowflake0531 JL = JK + KL JL = 90 JK = 52 What is KL \(\color{#0cbb34}{\text{End of Quote}}\)

snowflake0531:

Literally put the values in you have that JL = 90 JK =52 So put those into JL = JK +KL, and find kl

Scarlet23:

38

snowflake0531:

yay So how many degrees is MKL in all, remember that it's a straight line plus that angle, and a straight line is 180 degrees

Scarlet23:

218?

snowflake0531:

Yes so remember that this is 218 degrees Now we need the circumference of the circle do you know how to solve for circumference?

Scarlet23:

2 pie 10 and 214 divide by 360?

snowflake0531:

...no 10 is diameter, and circumference is 2pi r

Scarlet23:

now i just need to find r

snowflake0531:

... did you know that radius is half of diameter?

Scarlet23:

5

snowflake0531:

So we have 2 pi r So the circumference is 10pi, agreed?

Scarlet23:

yes

snowflake0531:

So we have 218 degrees out of 360 degrees, and x meters out of 10pi meters\[\frac{ 218 }{ 360 } = \frac{ x }{ 10\pi }\] cross multiply and then find x

snowflake0531:

Do you know how to do that?

Scarlet23:

360? its been a minute since i did cross multiply

snowflake0531:

... Do you know what cross multiplication is?

Scarlet23:

yes

snowflake0531:

So do it, multiply, and then find x

snowflake0531:

\[\frac{ a }{ b } = \frac{ c }{ d } \] \[bc=ad\]

Scarlet23:

6.05?

snowflake0531:

... may i ask, how'd you get that? write out what you did...

Scarlet23:

bc = 360x and ad i got 2180

snowflake0531:

Where'd you get the 2180 from

Scarlet23:

when i multiple 218 with 10 pi

snowflake0531:

10pi times 218...

1 attachment
snowflake0531:

So then that equals 360x... And then divide ^^^^^ by 360 i gtg sorry

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