Calculate the area of the designed region in Figure common between the two quadrants of circles of radius 8 cm each.

Area of sector DAFC
= 90°/360° × πr² = 1/4 × π(8)²
= 1/4 × 22/7 × 8 × 8 = 352/7 cm²
Area of triangle ADC
= 1/2 × DC × AD
= 1/2 × 8 × 8
= 32 cm²
Area of segment = Area of sector DAFC – Area of triangle ADC
= (352/7 – 32) cm² = ((352 – 224)/7) cm² = (128/7) cm²
Area of shaded region = Area of two segments
= 2 × (128/7) cm² = 256/7 cm²

Here is the video explanation 🤗👇