Question

Please help with geometry thx

Answer 1

Answer:

Correct answer:  Fourth answer  As = 73.06 m²

Step-by-step explanation:

Given:

Radius of circle R = 16 m

Angle of circular section  θ = π/2

The area of a segment is obtained by subtracting from the area of the circular section the area of an right-angled right triangle.

We calculate the circular section area using the formula:

Acs = R²· θ / 2

We calculate the area of an right-angled right triangle using the formula:

Art = R² / 2

The area of a segment is:

As = Acs - Art = R²· θ / 2 - R² / 2 = R² / 2 ( θ - 1)

As = 16² / 2 · ( π/2 - 1) = 256 / 2 · ( 1.570796 - 1) = 128 · 0.570796 = 73.06 m²

As = 73.06 m²

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