SOLUTION: If a square is inscribed in a circle with center O and a radius of 2, what is the perimeter of the square?

Question 197702: If a square is inscribed in a circle with center O and a radius of 2, what is the perimeter of the square?
Answer by Edwin McCravy(20055) (Show Source): You can put this solution on YOUR website!
If a square is inscribed in a circle with center O and a radius of 2, what is the perimeter of the square?


Let  repreent a side of the square:



Draw another radius:



That is a right triangle. So we use the Pythagorean
theorem to find s:










So that's the length of a side of the square.
Since there are 4 sides, we multiply by 4 and
the perimeter is




Edwin

RELATED QUESTIONS
What is the area of a square inscribed in a circle with a radius of 8? (answered by rfer)
An equilateral triangle with a perimeter of 24 square root (3) is inscribed in circle .... (answered by ewatrrr)
If a chord 10 inches long is 5 inches from the center of a circle, what is the radius of... (answered by ankor@dixie-net.com)
a square inscribed in a circle with radius 5cm.What is the area of square? (answered by stanbon,ikleyn)
A square is inscribed in a small circle of a sphere whose great circle has a radius of... (answered by greenestamps,ikleyn)
A square is inscribed in circle of radius 12mm. What�s the area of the... (answered by Fombitz)
If a square is inscribed in a circle, how do you find the distance from the center to the (answered by scott8148)
A square is inscribed into a circle with the radius of 3 cm. What is the area of the... (answered by Alan3354)
What is the area of a square that is inscribed in a circle and has a radius of... (answered by JBarnum)