If the radius of the circle is R, and the length of the flat region is c, then the area of the circle containing a flat is:
A = R2 [Pi - Arcsin(c / 2R)] + [(c / 2) (R2 - (c / 2)2)1/2]
After some calculus and algebra
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Area of a circle = pi*radius2 The radius of the circle will be 1/2 the size of the length of a side of the square.
Its a circle.
Do you know how to find the area of a circle when you know the radius ? Good! Do that. Do you know how to find the area of a square when you know the length of the side ? Good! Do that. Now you have two numbers ... the area of the circle and the area of the square. The problem wants you to find the difference of these two numbers. Do you know how to use subtraction to find the difference of two numbers ? Good! Do that.
a circle
Area of circle = 78.54 sq cm => Radius of circle = 5 cm => Diameter of circle = 10 cm => Side of square = 10cm => Area of square = 100cm2