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Given that the area of the shaded sector is 3.91 inches squared and the radius is 3 inches, find the measure of

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the complete question is
Given that the area of the shaded sector is 3.91 inches squared and the radius is 3 inches, find the measure of ∠ACB

the picture in the attached figure

we know that
area of a sector A =(∅*pi/360°)*r²--------> when ∅ is in degree
so
∅=A*360°/(pi*r²)
r=3 in
A=3.91 in²
so
∅=3.91*360/(pi*3²)-----> ∅=49.78°

the answer is
the measure of the angle ACB is 49.78°
Given that the area of the shaded sector is 3.91 inches squared and the radius is-example-1
User Abdallah Mahmoud
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