Cut the area of a circle into two sectors according to 2:7. The area of the large sector is 15 square centimeters more than that of the small sector. What is the area of the small sector?

Cut the area of a circle into two sectors according to 2:7. The area of the large sector is 15 square centimeters more than that of the small sector. What is the area of the small sector?

(15/(7/(7+2)-2/(7+2)))*(2/(7+2))
=(15/(7/9-2/9))*(2/9)
=(15/(5/9))*(2/9)
=(15*(9/5))*(2/9)
=27*(2/9)
=6 square centimeters
The area of the small sector is 6 square centimeters