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Sagot :
We are given a circle divided into two sectors. The minor arc subtends 57 degrees at the center while we are required to find the length of the major arc.
The formula for the length of an arc of a circle is:
[tex]\begin{gathered} \text{length}=\frac{\theta}{360}\times2\times\pi\times r \\ \\ \theta=\text{ angle subtended by the arc} \\ r=\text{radius of circle} \end{gathered}[/tex]The angle subtended at the center by the major arc is:
[tex]\begin{gathered}The angle subtended by the major arc is 303 degrees.
Radius of the circle = d/2 = 26/2 = 13m
Therefore, we can calculate the length of the major arc as:
[tex]\frac{303}{360}\times2\times\pi\times13=68.749m\approx68.75m\text{ (to 2 decimal places)}[/tex]Therefore the answer is 68.75m
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