Respuesta :

Answer:

[tex]25\pi[/tex] or about 78.54 units

Step-by-step explanation:

Since the arc measures 90 degrees, since 90/360=1/4 the segment is 1/4 of the area of the circle. The whole area of the circle is [tex]\pi 10^2=100\pi[/tex], meaning that the area of the segment is [tex]25\pi[/tex] square units, or about 78.54. Hope this helps!