Final answer:
Use circle area and sector area formulas, then subtract the area of the triangle using trigonometry to get the shaded region's area.
Step-by-step explanation:
The area of the shaded region can be found using trigonometry and circular measures. First, you would calculate the total area of the circle using the formula πr². Then, you'd find the area of the sector related to the shaded region, which can be calculated by (θ/360) x πr², where θ is the central angle for the shaded region. Subtract the area of the triangle formed, by using trigonometry. The remainder is the area of the shaded region.
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