The diagram shows a sector of a circle with radius 7.2 cm. The angle at the centre is θ radians.
A diagram of a sector of a circle. The sector is bounded by two radii and an arc. The radius on the right is labeled 7.2 cm. The central angle is labeled θ. The area of the sector is shaded gray.
Diagram of a sector of a circle with radius 7.2 cm and central angle theta.
The area of the shaded region is 9.7 cm2. Find the value of θ.