1.) The circumference of a circle is determined by or , where is the radius and is the diameter. Since, the problem is asking for the diameter, we would use the formula and substitute the circumference of the circle and the estimated value of .
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2.) Divide both sides by 3.14 to get the value of d (the length of diameter of the circle).
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3.) Therefore, the length of the diameter of the circle with circumference of meters is meters.
I hope this helps you understand this concept in Mathematics.
Answers & Comments
Answer:
6 meters
Step-by-step explanation:
1.) The circumference of a circle is determined by
or
, where
is the radius and
is the diameter. Since, the problem is asking for the diameter, we would use the formula
and substitute the circumference of the circle and the estimated value of
.
⇒![C = \pi d C = \pi d](https://tex.z-dn.net/?f=C%20%3D%20%5Cpi%20d)
⇒![18.84 = 3.14 d 18.84 = 3.14 d](https://tex.z-dn.net/?f=18.84%20%3D%203.14%20d)
2.) Divide both sides by 3.14 to get the value of d (the length of diameter of the circle).
⇒![3.14d = 18.84 3.14d = 18.84](https://tex.z-dn.net/?f=3.14d%20%3D%2018.84)
⇒![\frac{3.14d}{3.14} = \frac{18.84}{3.14} \frac{3.14d}{3.14} = \frac{18.84}{3.14}](https://tex.z-dn.net/?f=%5Cfrac%7B3.14d%7D%7B3.14%7D%20%3D%20%5Cfrac%7B18.84%7D%7B3.14%7D)
⇒![d = \bold{6} \ \bold{meters} d = \bold{6} \ \bold{meters}](https://tex.z-dn.net/?f=d%20%3D%20%5Cbold%7B6%7D%20%5C%20%5Cbold%7Bmeters%7D)
3.) Therefore, the length of the diameter of the circle with circumference of
meters is
meters.
I hope this helps you understand this concept in Mathematics.
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