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Answer:
144°
Step-by-step explanation:
First, find the area of the circle, with the formula A = r²
Plug in 10 as the radius, and solve
A = r²
A = (10²)
A = 100
Using this, create a proportion that relates the area of the sector to the degree measure of the arc.
Let x represent the degree measure of the arc of the sector:
=
Cross multiply and solve for x:
100x = 14400
x = 144
So, the degree measure of the sector arc is 144°