Respuesta :

Answer:

  44/45 radians

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)r²θ

where θ is the central angle in radians.

Filling in the given numbers, we have ...

  110 cm² = (1/2)(15 cm)²θ

  θ = (220 cm²)/(225 cm²) = 44/45 radians

The subtended angle is 44/45 radians, about 56.02°.