Question

Which of the following is the equation of a circle whose center is at the origin and whose radius is 5 ?

A.) x(squared) + y(squared) =√5

B.) x(squared) + y(squared) = 5

C.) x(squared) + y(squared) = 10

D.) x(squared) + y(squared) = 25

Answer 1

Are you familiar with the standard form equation for a circle?

Answer 2

\[(x-a)^2+(y-b)^2=r^2\]

Answer 3

Not really

Answer 4

Where (a, b) is the coordinate of the circle's centre, and r is the radius

Answer 5

your going to have to help me with it

Answer 6

Well, you just need to plug in the information given from the problem.

Answer 7

The circle is centered at the origin so \[(a,b) = (0,0)\]

Answer 8

The radius is 5.

Answer 9

\[(x -0)^2 + (y-0)^2 = 5^2\]

Answer 10

how do i find x, and y?

Answer 11

You're not trying to find x and y. You are asked to provide the equation of the circle in terms of x and y.

Answer 12

So it would be D?

Answer 13

Correct

Answer 14

i accendtly typed the radius wrong its supposed to be √5. would it still be 25?

Answer 15

@math1234