Question

What is the radius for the circle given by the equation x^2+(y-3)^2=21?

Answer 1

It is just the square root of 21 \[\sqrt{21}\]

Answer 2

Oh really? Thank you

Answer 3

Yeah it's that easy :)

Answer 4

Yes but do you understand why it is root(21)? :)

Answer 5

Yes do you want me to explain?

Answer 6

Sure

Answer 7

Because if you understand why would you ask the question in the first place

Answer 8

In general the equation of a circle in the standard form is written as follows \[(x-a)^{2} +(y-b)^{2} = r ^{2}\]

Answer 9

Where a and b is just the ordered pair of the centre of a circle say the coordinates of the centre of the circle and then r is our famous radius but in the formula it is squared so we just take the square root of it to get to the real r

Answer 10

That is correct :)

Answer 11

Okay, I'm trekking. Thanks!

Answer 12

Oh yes