How do i solve for this?

9514 1404 393

  97.42 square units

Step-by-step explanation:

The area of a sector is given by ...

  A = (1/2)r²θ

where r is the radius (12.2) and θ is the central angle in radians. Here, you're given the central angle as 75°, so you need to convert that to radians.

  75° = (75°)×(π/180°) radians = (5/12)π radians

Then the area is ...

  A = (1/2)(12.2²)(5π/12) = 744.2π/24 ≈ 97.42 . . . square units

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Equivalently, you can find the area of the circle in the usual way:

  A = πr² = π(12.2²) ≈ 467.59465

Then, multiply by the fraction of the circle that is shaded (75°/360°)

  sector area = (467.59465)(75/360) = 94.42 . . . square units

the answer is 0.3175 hope that you ^w^

also you might actually want to put this picture up if you want people to solve it luckily i remember this question