Respuesta :

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 [tex]45.85 degrees\\[/tex]

Step-by-step explanation:

The area of a sector is given by

[tex]\frac{n}{360} \pi r^{2}\\[/tex]

Substituting the values in above equation, we get

[tex]40 = \frac{n}{360} (3.14)10^2\\n = 45.85\\[/tex]

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