To calculate the area of the sector subtended by the given angle, we need to use the formula for the area of a sector.

The formula for the area of a sector is:

Area = (θ/360°) π r^2

Where:

- θ is the angle subtended by the sector at the center of the circle

- π is a mathematical constant approximately equal to 3.14159

- r is the radius of the circle

In this case, the angle subtended by the sector is 70° and the radius of the circle is 6 cm. Plugging these values into the formula, we get:

Area = (70°/360°) (22/7) (6 cm)^2

Simplifying the expression:

Area = (7/36) (22/7) 36 cm^2

The cm^2 units cancel out, leaving us with:

Area = 22 cm^2

Therefore, the area of the sector subtended by the given angle is 22 cm^2.