SOLUTION: Find the area of the shaded region. The cross, 4 cm to a side, inscribed in a circle. Here is the shape: http://imgur.com/0S8zjQe I was wondering on how to get the radius of

Question 1036317: Find the area of the shaded region.
The cross, 4 cm to a side, inscribed in a circle.
Here is the shape: http://imgur.com/0S8zjQe
I was wondering on how to get the radius of the circle as well?
Found 2 solutions by ankor@dixie-net.com, Alan3354:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
We need to find the area of the cross, subtract it from the area of the circle
From the drawing we know the width of the cross = cm
Area of the cross
A = 4* + = 8.889 sq/cm is the cross
:
Find the radius using the right triangle formed by half the width of the cross, half the length of the cross and the radius (hypotenuse)
r =
r = 2.108 is the radius
Find the area of the circle
A =
A = 13.962 sq/cm is the circle
:
13.962 - 8.889 = 5.073 sq/cm is the shaded area

Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
There are 5 squares.
The area of each is 4*4 = 16 sq cm
--> 80 sq cm
---------
The diameter of the circle is the hypotenuse of the right triangle with legs of 4 and 12
d^2 = 12^2 + 4^2 = 160
r^2 = 40
Area of the circle is pi*r^2 = 40pi sq cm
Shaded region = 40pi - 80 sq cm

RELATED QUESTIONS
Find the area of the shaded region.... (answered by mananth,Edwin McCravy)
In the diagram attached below, what is the area of the shaded region? Diagram:... (answered by ikleyn)
A square is inscribed in a circle. If the length of the diagonal of the square is 6.4 cm, (answered by ankor@dixie-net.com)
If line DE = {{{ 12 sqrt( 3 ) }}} in the diagram, what is the area of the shaded region? (answered by ikleyn)
A square with a side of 3 units is inscribed in a circle. what is the area of the shaded... (answered by FrankM)
An equilateral triangle with side 10 square root 3 and apothem 5 is inscribed in a circle (answered by solver91311)
In the isosceles triangle ACB is inscribed in a semicircle with a diameter of length... (answered by Alan3354)
a rectangle is inscribed in a circle with a radius of 10 ft. the rectangle is 5 feet by 6 (answered by cleomenius)
Draw a isosceles triangle ACB which is inscribed in a semicircle with a diameter of... (answered by RAY100)