SOLUTION: A square is inscribed in a circle. If the side of the square is 4 what is the area and circumference of the circle.
Algebra.Com
Question 259915: A square is inscribed in a circle. If the side of the square is 4 what is the area and circumference of the circle.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A square is inscribed in a circle. If the side of the square is 4 what is the area and circumference of the circle.
---
Draw the picture and you will see that the
diagonal of the square is the diameter
of the circle.
----
Using Pythagoras you get
diagonal = 4*sqrt(2)
-------------------------------
Circumference of the circle = (pi)(diameter)
= 4sqrt(2)(pi)
---
This is approximately 17.77 units
====================================
Cheers,
stan H.
RELATED QUESTIONS
A square is inscribed in a circle. If the side of the square is 4 what is the area and... (answered by Earlsdon)
If a square with a side of π is inscribed in a circle, what is the circumference of... (answered by ankor@dixie-net.com)
If a square with a side of 5 is inscribed in a circle, what is the circumference of the... (answered by MathLover1)
What is the circumference of a circle inscribed in a square whose side is 12... (answered by mananth)
what is the area of a square inscribed in a circle whose circumference is... (answered by user_dude2008)
a square is inscribed in a circle .if one side of the square measures 5 cm , what is the... (answered by jim_thompson5910)
a square is inscribed in a circle if one side of the square measures 5cm what s the... (answered by solver91311)
A circle with a circumference of 16 pie is inscribed in a square. What is the area of the (answered by mananth)
A circle is inscribed in a given square and another circle is circumscribed about the... (answered by ankor@dixie-net.com)