Question

5. Find the arclength that subtends a central angle of 175° in a circle with radius 3 feet.

Answer 1

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:

`\text{arc length=2}*\pi* r*(175)/(360)`

Then,

`\begin{gathered} \text{arc length=2}*\pi* r*(175)/(360) \\ \text{arc length=2}*3.14*3*(175)/(360) \\ \text{arc length=}9.16 \end{gathered}`

Hence, the arclength is 9.16.