Given:

Angle of the sector = 56°

Area of the sector = 17.6 cm²

Let the radius of the circle be ‘r’.

∵ Area of sector = × πr²

∴ 17.6 = × × r²

r² = × × 17.6

r² = 36

r = √36

r = 6 cm

Hence, the radius of the circle is 6 cm.