1. **State the problem:** We need to find the area of the shaded segment in a circle with radius 12 cm and central angle 47°. 2. **Recall the formula:** The area of the segment is the area of the sector minus the area of the triangle formed by the two radii and the chord. 3. **Given:** - Radius $r = 12$ cm - Central angle $\theta = 47^\circ$ - Area of sector $A_{sector} = 59.06$ cm² - Area of triangle $A_{triangle} = 52.66$ cm² 4. **Calculate the area of the segment:** $$ A_{segment} = A_{sector} - A_{triangle} $$ $$ A_{segment} = 59.06 - 52.66 = 6.40 $$ 5. **Answer:** The area of the shaded segment is **6.40 cm²** rounded to the nearest hundredth.