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
Algebra ->
Surface-area
-> 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
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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
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
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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
