Answer :

Answer:

47.2075 cm²

Step-by-step explanation:

Area of the sector = centre angle / 360⁰ × πr² (take π = 22/7)

Area of the sector = 129⁰/360⁰ × 22/7 × 8²

Area of the sector = 129⁰/360⁰ × 22/7 × 64

Area of the sector = 72.0762 cm²

Area of the triangle = 1/2 × ab × sin (centre angle), where a = b = 8cm.

Area of the triangle = 1/2 × 8× 8 × sin 129⁰

Area of the triangle = 8 × 4 × sin 129⁰

Area of the triangle = 32sin129⁰

Area of the triangle = 24.8687 cm²

Therefore,

Area of the shaded region = Area of the sector - Area of the triangle

Area of the shaded region = (72.0762 - 24.8687) cm²

Area of the shaded region = 47.2075 cm²