Answer:
43.6 ft²
Step-by-step explanation:
Using the sector formula:
A = (θ/360) * πr²
We can visualize the degree of the sector as a percentage of a circle.
Since we are given a sector with a radius (r) of 7, and an angle (θ) of 102°, we have enough info to substitute the variables and solve for the area (A).
A = (102° / 360) * π(7)²
A = (17 / 60) * 49π
A ≈ 43.6 ft²
