Answer:
16.5 cm²
Explanation:
the measure of an exterior angle (32°) is found by dividing the difference between the measures of the intercepted arcs (54° and arc abject BF) by two.
32 = (BF - 54)/2
64 = BF - 54
arc angle BF = 64 + 54 = 118°
the area of that sector is
pi×r² × 118/360 = pi×4² × 118/360 = pi×16 × 118/360 =
= pi×2 × 118/45 =
= 16.47590814... ≈ 16.5 cm²