What happens to the area of a circle if the circumference is doubled
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What happens to the area of a circle if the circumference is doubled
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If the circumference of a circle is doubled, the area will be
four times bigger. It’s like having a square with one metre sides.
If we double the length of sides, that is – two metre long sides.
the length around will be eight instead if four metres. The area
will not be doubled from one square metre to two square meters. It
will be four square metres instead.
Lengths only grow in one direction so doubling is doubling, but
areas grow in two directions – length and width at the same time.
Therefore, areas grow and grow, doubling this way and doubling that
way, so the doubling is doubled making it four times. Trebling
would be trebled making a three times length increase into a nine
times area increase.