SOLUTION: The sides of a square are parallel to the coordinate axes. Its vertices lie on the circle of radius 5 whose center is at the origin. Find coordinates for the four vertices of this

Question 965296: The sides of a square are parallel to the coordinate axes. Its vertices lie on the circle of radius 5 whose center is at the origin. Find coordinates for the four vertices of this square.

Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
The square is centered about the origin.
The vertex makes an angle of 45 degrees to the x-axis so it lies on the line
.
.
Substituting,

So the coordinates are,
(,)
(,)
(,)
(,)

RELATED QUESTIONS
The sides of a square are parallel to the coordinate axes. Its vertices lie on the circle (answered by Edwin McCravy)

Find the area of an equilateral triangle whose vertices lie on a circle with radius... (answered by tran3209)

For each of the following, make one change to 𝑥^2 + 𝑦^2 = 36 so that its... (answered by ewatrrr)

Show that the points (-2,5),(-2,-1) and (4,-1) all lie on a circle whose center is at... (answered by Mathtut)

two parallel chords lie on opposite sides of the centre of a circle of radius 13cm. their (answered by Boreal)

Find the equation of the circle described each. a)The circle is tangent to both... (answered by Edwin McCravy)

A circle of radius 5 has its center at the origin. Inside this circle there is a... (answered by ikleyn,Alan3354)

I need help with this problem even though I am familiar with the equation of a circle.... (answered by Alan3354)

show that the points (-2,5), (-2,-1) and (4,-1) all lie on a circle whose ~~radius~~... (answered by josgarithmetic)