Given a central angle of 2 radians and arc length of 2 inches.
θ = central angle = 2 rad
Perimeter of the arc = 2 inches.
Therefore the area of the sector formed is 4.5 in²
Hence, the radius (r) is:
Perimeter = θ * r
3 = 2 * r
r = 1.5 inches
Area of sector formed = θ * r²
Area of sector formed = 2 * 1.5² = 4.5 in²
Therefore the area of the sector formed is 4.5 in²
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