Final answer:
The area of the yellow region can be found by subtracting the area of the smaller circle from the area of the larger circle. Use the formula A = πr² to calculate the areas of the circles. Round the answer to the nearest tenth.
Step-by-step explanation:
To find the area of the yellow region, we need to subtract the area of the smaller circle from the area of the larger circle. Both circles have a radius of 8 cm. The formula for the area of a circle is A = πr², where A is the area and r is the radius.
The area of the larger circle is A = 3.14 × (8 cm)² = 200.96 cm².
The area of the smaller circle is A = 3.14 × (4 cm)² = 50.24 cm².
Therefore, the area of the yellow region is the difference between the two areas: 200.96 cm² - 50.24 cm² = 150.72 cm². Rounded to the nearest tenth, the area of the yellow region is approximately 150.7 cm².