How do you solve for the segment area in a circle?

9514 1404 393

  36.23 square meters

Step-by-step explanation:

The area of a segment that subtends central angle α (in radians) is given by the formula ...

  A = (1/2)r²(α -sin(α))

Your sector has α = π/3, so the area is ...

  A = (1/2)(20 m)²(π/3 -sin(π/3)) ≈ (200 m²)(1.04720 -0.86603)

  A ≈ 36.23 m²

Additional comment

The segment area formula represents the difference between the sector area and the triangle area.

c. 4 and 1/2 pounds is the answer! : )

ok

step-by-step explanation: