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anonymous
 one year ago
Find the area of the square inside the circle if the radius of the circle is 10 inches.
anonymous
 one year ago
Find the area of the square inside the circle if the radius of the circle is 10 inches.

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rhr12
 one year ago
Best ResponseYou've already chosen the best response.1For example, if the radius of the circle is 4, Area of Circle = π*r² radius = 4 π*4² = 50.2655 Area of Square = s² s = side Since the radius of the circle is 4, multiply it by 2 to find its diameter, which we will use to find the side of the square: 2*4 = 8 diameter of circle = 8 Since the diagonal of the square is the hypotenuse of the two triangles of the square when split, we use this formula to find the sides of the square: hypotenuse*sinθ = side of square θ=45° We use 45° because it is the angle of both of the other sides of the triangle (opposite, adjacent), which both hold the same value of any side of the square; a square split in half results in two righttriangles. Now, we have: 8sin45° = 5.656854249 side of square = 5.656854249 Now we use our area of a square formula with this newly found side: 5.656854249² = 32 Thus, Area of the square equals 32. Now we just subtract the area of the square, from the area of the circle: 50.2655  32 = 18.2655 Answer: The area of the region within the circle, but outside of the square is 18 units. I hope this helps!
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