Question

convert r^2=4rsin tetha to cartesian

Answer 1

x^2+y^2=r^2

rsin(theta)=x

Answer 2

also identify the type of graph it will make....like is it a line or cirlce thx

Answer 3

What would you do. Do you see?

Answer 4

x² + y² = r²

sin(theta) = y/r

Take this equation --> r^2 = 4r sin(theta)

and substitute for r² and sin(theta).

@lilshadow

Answer 5

^ What he said. Same method as me.

Answer 6

rsin(theta)=y sorry. Typo.

Answer 7

@Dido525 Why do you say that the "4" is not relevant?

Answer 8

I mean like during the conversion.

Answer 9

Of course it's still going to be part of the final answer.

Answer 10

Maybe I should not have said that.

Answer 11

wait guys but i get x^2+y^2=4y. What kind of graph does that make?

Answer 12

Think about this in terms of Polar coordinates.

Answer 13

r=4sin(theta) .

Answer 14

In polar coordinates, y=sin(theta) is a circle.

Answer 15

That 4 stretches it by a factor of 4.

Answer 16

So in essence, you Have a circle of Radius 4.

Answer 17

That's my reasoning at least.

Answer 18

@lilshadow

If you don't recognize the graph from its equation, sketch the graph here:

http://www.wolframalpha.com/ Enter the equation in the search field.

Answer 19

@Dido525 Isn't the diameter 4 and the radius 2?

Answer 20

Yeah. Again. A silly mistake. Thanks :P .

Answer 21

The radius is 2 and the Diameter is 4.

Answer 22

Alrite thx guys!

Answer 23

We were happy to help.

Answer 24

Yeah no problem :) .