SOLUTION: a circle is inscribed in a square and there's another small circle at the down part of the circle in the right side, how to get the area of the small square and circumference?

Question 463746: a circle is inscribed in a square and there's another small circle at the down part of the circle in the right side, how to get the area of the small square and circumference?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
Let s = the length of the edge of the square, and let r = radius of the smaller circle. ==> the radius of the circle inscribed in the square is s/2.
Then
by the Pythagorean theorem.
<==> , after simplification.
Applying the quadratic formula, we get
.
r = , or .
Eliminate the second value for r. (Why?)
From here just apply the formulas and to get the area and circumference of the small circle, respectively.
RELATED QUESTIONS
a circle is inscribed in a square which is circumscribed by another circle. If the... (answered by ankor@dixie-net.com)

A circle is inscribed in a square, which is circumscribed by another circle. If the... (answered by ankor@dixie-net.com)

A circle is inscribed in a given square and another circle is circumscribed about the... (answered by ankor@dixie-net.com)

A circle is inscribed in a square, which is inscribed in an equilateral triangle... (answered by greenestamps)

a square is inscribed in a circle if one side of the square measures 5cm what s the... (answered by solver91311)

A square is inscribed in a circle of area 18pie.Find the side of the... (answered by Cromlix,Alan3354)

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)

A square of side length 10cm is inscribed in a circle. Calculate the diameter of the... (answered by bucky)