SOLUTION: Can someone out there help me with this problem? I have a square and in it a circumference. The shaded area is all around the circumference in the square. I have 15 ft. on t

Algebra ->  Divisibility and Prime Numbers -> SOLUTION: Can someone out there help me with this problem? I have a square and in it a circumference. The shaded area is all around the circumference in the square. I have 15 ft. on t      Log On


   

Question 40469: Can someone out there help me with this problem?
I have a square and in it a circumference. The shaded area is all around the circumference in the square. I have 15 ft. on the bottom and 15 ft. on the side.
I need to find the area of the shaded part using 3.14 for pi and round the answer to one decimal place.
Please help me.
Thanks, Sher
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I have a square and in it a circumference. The shaded area is all around the circumference in the square. I have 15 ft. on the bottom and 15 ft. on the side.
I need to find the area of the shaded part using 3.14 for pi and round the answer to one decimal place.
Sounds like you have a circle inside a square.
Sounds like the radius of the circle is 7.5 ft.
Sounds like the side of the square is 15 ft.
Area of the square is 15^2 = 225 sq ft.
Area of the circle is (pi)r^2 = 3.14(7.5)^2 = 176.625 sq ft.
The shaded area is the square area - the circle area
shaded area = 225 - 176.625 = 48.375 sq. ft.
Cheers,
Stan H.