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Published byAlyson Byrd Modified over 9 years ago
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Surface Area Circles
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Area of Circles How could we find the area of a circle?
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What if we consider a square?
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If we found the area of the square, it would be a bit more than the circle inside of it. Extra
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That means that a circle inside of a square should have a bit smaller area than the square. So, how long is the side of the square? r r
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The length of one side of a square (with a circle in it) would be 2r r r
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To figure out the area of the square, (A = 2r x 2r) 2 r A = 2r x 2r A = 2 x 2 x r x r A = 4r²
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So, in other words, a square with a circle in it would have an area of 4r²…but that is bigger than just the circle. 2 r A = 2r x 2r A = 2 x 2 x r x r A = 4r²
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So a circle has an area a bit smaller than the square around it. It is actually EXACTLY 3.14 x r² A = πr² A = πr² A = 3.14 x (6cm)² A = 3.14 x 6cm x 6 cm A = 3.14 x 36cm² A = 113.04 cm² R = 6 cm
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