HaliaE291438 HaliaE291438
  • 25-10-2022
  • Mathematics
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5. Find the arclength that subtends a central angle of 175° in a circle with radius 3 feet.

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CabellaM142518 CabellaM142518
  • 25-10-2022

As given by the question

There are given that the central angle is 175 degrees and the radius is 3 feet.

Now,

The length of an arc given it subtends a known angle at the centre is:

[tex]\text{arc length=2}\times\pi\times r\times\frac{175}{360}[/tex]

Then,

[tex]\begin{gathered} \text{arc length=2}\times\pi\times r\times\frac{175}{360} \\ \text{arc length=2}\times3.14\times3\times\frac{175}{360} \\ \text{arc length=}9.16 \end{gathered}[/tex]

Hence, the arclength is 9.16.

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