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.
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By using the formula: area of circle = pi*radius2
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.
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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
Find the total area of the square: length times height. Next, find the total area of the circle: Pi times radius to the second power, or Pi(r squared). If you are doing this by hand, 3.14 is usually acceptable for Pi. Once you have the are of both the square and the circle (the area of the circle should be smaller than that of the square), subtract the area of the circle from the area of the square. The difference is the area of those extra corners of the square that the circle does not occupy. It is actually quite simple. This demonstrates the danger of thinking in words rather than pictures.