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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.

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  1. anonymous
    • one year ago
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  2. rhr12
    • one year ago
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    For 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 right-triangles. 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!

  3. rhr12
    • one year ago
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    I will let you finish

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