SOLUTION: A square, whose area is equal to the perimeter of the rectangle whose value 16, is inscribed in a circle with its four vertices on the circumference of the circle. What is the diam

Question 935203: A square, whose area is equal to the perimeter of the rectangle whose value 16, is inscribed in a circle with its four vertices on the circumference of the circle. What is the diameter of the circle?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A square, whose area is equal to the perimeter of the rectangle whose value 16, is inscribed in a circle with its four vertices on the circumference of the circle.
What is the diameter of the circle?
:
The square area is given as 16, therefore:
= 4 is the length of the side of the square
:
The square in the circle: half the square is a right triangle:
Using pythag; a^2 + b^2 = c^2
a = 4
b = 4
c = diameter of the circle
:
c =
c = 5.656854 is the diameter of the circle
RELATED QUESTIONS
what is the are of rectangle whose length is twice its width and whose perimeter is equal (answered by edjones)

what is the area of a square inscribed in a circle whose circumference is... (answered by user_dude2008)

Find the area of a square inscribed in a circle whose radius is 8cm. Thank... (answered by josgarithmetic,MathTherapy)

A circle whose radius is 10 is inscribed in a rectangle. Find the area of the... (answered by solver91311)

A square is inscribed in a circle whose radius is 10cm. find the area of the... (answered by Alan3354)

Find the perimeter of square which is inscribed in a circle which is also inscribed in... (answered by ikleyn)

Find the area of a circle inscribed in a rhombus whose perimeter is 100 cm, and whose... (answered by edjones)

What is the circumference of a circle inscribed in a square whose side is 12... (answered by mananth)

Perimeter of a circle is equal to the perimeter of a square whose area is 484 cm�. What... (answered by macston)