Final answer:
To find the area of a sector, use the formula A = (θ/360) * π * r^2. For this sector with a radius of 6 cm and a central angle of 70 degrees, the area is approximately 75.4 cm^2.
Step-by-step explanation:
To find the area of a sector, you can use the formula A = (θ/360) * π * r2, where θ is the central angle in degrees and r is the radius.
In this case, the radius is 6 cm and the central angle is 70 degrees. Plugging these values into the formula, we get:
A = (70/360) * π * (6 cm)2
Simplifying, we have:
A = (7/36) * π * 36 cm2
A = 2/3 * π * 36 cm2
A = 24π cm2
Using the value of π as 3.1415927... and rounding to 3 significant figures, the area is approximately 75.4 cm2.