Answer: 197.9 units²
Explanation:
First, we will find the area of the larger circle, including the shaded portion, and the smaller circle, not including the shaded portion. The area of a circle can be found with this formula;
A = πr²
A = π(12)²
A ≈ 452.389 units²
-
A = πr²
A = π(9)²
A ≈ 254.469 units²
Next, we will subtract the smaller circle, the shaded portion not included, from the larger circle, the shaded portion included, to find the area of the shaded area.
452.389 units² - 254.469 units² = 197.92 units²
Lastly, we will round to the nearest tenth.
197.92 units² ≈ 197.9 units²