 # To find: The exact circumference of the circle with diameter 20 inches and approximate the circumference. illusiia 2020-10-23 Answered
To find: The exact circumference of the circle with diameter 20 inches and approximate the circumference.
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Definition:
Convert decimal fractions to integers.
The decimals point in the product is placed so that the number of decimal places in the product is equal to the sum of the number decimal places in the factors.
Radius of the circle is half the diameter of the circle.
Circumference of the circle is $2\pi r$
The value of $\pi r\text{is}3.14$
Calculation:
Radius, $r=10$ inches
Circumference of the circle is $2\pi r$
Change $r=10\phantom{\rule{1em}{0ex}}\text{and}\phantom{\rule{1em}{0ex}}\pi =3.14\in 2\pi r$
$2\left(3.14\right)\left(10\right)$
$20\cdot 3.14$
Based on the definition,
Multiply the decimals as through they are whole numbers.
$20\cdot 314=6280$
The decimals point in the product is placed so that the number of decimal places in the product is equal to the sum of the number decimal places in the factors.
The number decimal places in the factors is 2.
So, place decimal point from two number from right.
$62.80$
On rounding off,
62.80 is taken as 63
Answer: Circumference of the circle is 63 meters