Question

circle whose center is at the origin and whose radius is

Answer 1

Which of the following points lies on the circle whose center is at the origin and whose radius is 10?

I'm not good with this tho :3

Answer 2

Given center and radius, can you write the equation of the circle ?

Answer 3

Wait this?\[r=\sqrt{(x-0)^2 +(y-0)}\]

Answer 4

Yes, plugin r = 10 too

Answer 5

Wait so i have to rewrite the fomula again?

Answer 6

Also it seems you've forgot to square the y part

Answer 7

Wait this?\[r=\sqrt{(x-0)^2 +(y-0)^{\color{red}{2}}}\]

Answer 8

Oh yea 10=\(\sqrt{(x-0)^2 +(y-0)^{\color{}{2}}} \)

Answer 9

square both sides

Answer 10

**10=\(\sqrt{(x-10)^2 +(y-10)^{\color{}{2}}}\)
liek this?

sorry i'mnot good with this

Answer 11

No. (0,0) is the center.
Your earlier equations are correct

Answer 12

10=\(\sqrt{(x-0)^2 +(y-0)^{\color{}{2}}} \)

squaring both sides gives
100 = \(x^2 + y^2\)

Answer 13

Any point on the circle must satisfy above equation

Answer 14

plugin each of the given options and see which one satisfies

Answer 15

Okay so this way x2+y2=100
\[\sqrt{10}^2 +\sqrt{10}^2\]
Like this?

Answer 16

what are your options ?

Answer 17

Uhh let me see
(-6, 4)
(\(\sqrt{10},\sqrt{10}\) )
(6, -8)

Answer 18

Lets test the first option (-6, 4)

plugin x = -6, y = 4 in the equation
100 = x^2 + y^2

Answer 19

100 = (-6)^2 + 4^2

100 = 36 + 16

100 = 52

which is not true
so the point in the first option doesn't lie on the given circle

Answer 20

try the second option

Answer 21

Okay let me see I got 20 as 100

Answer 22

which is clearly false
try third option

Answer 23

Oh i was thinking it's false :3
mkay 3rd one
\(6^2+(-8)^2 is 100\)

Answer 24

So ?

Answer 25

Oh probably c, but i'm not sure.. let me check that agiain

Answer 26

O.m.g that's right

Answer 27

Yes

Answer 28

You could also solve it by graphing

Answer 29

Simply graph the equation of the circle and the given points

Answer 30

YAAAAAAS!1!!!!!!
OKay Ummm should i try it?