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In circle F, FG = 2 and mZGFH 120°. Find the area of shaded sector.
Express your answer as a fraction times pi.


*PLEASE HELP*

In Circle F FG 2 And MZGFH 120 Find The Area Of Shaded Sector Express Your Answer As A Fraction Times Pi PLEASE HELP class=

Sagot :

The area of the shaded sector of the circle is: 4π/3 units².

What is the Area of a Sector?

Area of sector of a circle = ∅/360 × πr², where r is the radius of the circle and ∅ is the central angle.

Given:

∅ = 120°

r = FG = 2

Thus:

Area of sector of a circle = 120/360 × π(2²)

Area of sector of a circle = 1/3 × π(4)

Area of sector of a circle = 4π/3 units²

Thus, the area of the shaded sector of the circle is: 4π/3 units².

Learn more about the area of a sector on:

https://brainly.com/question/22972014