Given the two concentric circles with center H below, find the area of the shaded region. Round your answer to the nearest tenth if necessary.
![Given the two concentric circles with center H below find the area of the shaded region Round your answer to the nearest tenth if necessary class=](https://us-static.z-dn.net/files/d59/9ab5b92bbe3e0907bc4a672ad2261275.png)
Answer:
A ≈ 194.8 units²
Step-by-step explanation:
the shaded area (A) is calculated as
A = area of outer circle - area of inner circle
= πr₁² - πr₂² (r₁ is outer radius and r₂ the inner radius )
= π × 13.5² - π × 4.5²
= π(13.5² - 4.5²)
= π(182.25 - 20.25)
= π × 62
≈ 194.8 units² ( to the nearest tenth )