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Verified Answer :

Nirina7

the main formula is 

sector area = n / 360°  x Pi r²

4 = n / 360  x  r² = n° / 36,  

144° = n

Answer:

The degree measure of the arc of the sector is \(45.85 degrees\\\)

Step-by-step explanation:

The area of a sector is given by

\(\frac{n}{360} \pi r^{2}\\\)

Substituting the values in above equation, we get

\(40 = \frac{n}{360} (3.14)10^2\ = 45.85\\\)

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