SOLUTION: A circle with radius 10x is inscribed in a square. part a: Write an expression for the area of the circle. part b: Write an expression for the area of the square. part c:

Question 1004502: A circle with radius 10x is inscribed in a square.
part a: Write an expression for the area of the circle.
part b: Write an expression for the area of the square.
part c: Form a simplified rational expression from the ratio of the two areas. Use the circle area as the numerator.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A circle with radius 10x is inscribed in a square.
Sketch that picture; label the radius as 10x; then the diagonal = 20x
Then each side is 20x/sqrt(2) = 10sqrt(2)x
---------
part a: Write an expression for the area of the circle.
Area = pi*radius^2 = pi*100x^2
-----------------------------------------
part b: Write an expression for the area of the square.
Area = side^2 = 100*2x^2 = 200x^2
-------
part c: Form a simplified rational expression from the ratio of the two areas. Use the circle area as the numerator.
Ans: [pi*100x^2] / [200x^2] = pi/2
------------
Cheers,
Stan H.
------------
RELATED QUESTIONS
a circle is inscribed in a square. write and simplify an expression for the ratio of the... (answered by fractalier)

An equilateral triangle with a perimeter of 24 square root (3) is inscribed in circle .... (answered by ewatrrr)

a square inscribed in a circle with radius 5cm.What is the area of square? (answered by stanbon,ikleyn)

What is the area of a square inscribed in a circle with a radius of 8? (answered by rfer)

An equilateral triangle, each side of which measures 12, is inscribed in a circle.... (answered by Edwin McCravy,AnlytcPhil)

An equilateral is inscribed in a circle of radius 10cm. Find the area of the equilateral. (answered by edjones)

an equilateral is inscribed in a circle of radius 10 cm. Find the equilateral's area. (answered by Alan3354)

a sqaure has side s. the radius of a circle is two less than half the side of the square. (answered by edjones,fastblue)

The area of a circle can be found by multiplying the number pi by the square of the... (answered by ikleyn)