Please answer, will mark brainliest

r ≈ 5.26 cm

Step-by-step explanation:

The area (A) of the bigger part is calculated as

A = area of circle × fraction of circle

The angle subtended at the centre by the bigger part = 360° - 165° = 195°

A = πr² ×

Here A = 47, thus

πr² × = 47 ( multiply both sides by 360 to clear the fraction )

195πr² = 16920 ( divide both sides by 195π )

r² = ( take the square root of both sides )

r = ≈ 5.26 cm ( to 2 dec. places )