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scme1702
We know that the area of a sector is given by:
A = 1/2r²∅; where ∅ is in radians
210/360 = ∅/2π
∅ = 7π/6
r = 4.6/2 = 2.3 m
A = 0.5 x 2.3² x 7π/6
A = 3.08 m²
Edufirst
The area of the sector is the area of the circle * [210 /360]

This is obtained by considering that the area of the sector is proportional to the ratio of the sector angle to the entire circle angle.

Also you can say area of the sector /  are of the circle = angle of the sector / 360°

Then, area of the sector = π(2.3m)^2 *300 / 360 = 13.9 m^2


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