Question

follow the steps to find the area of the shaded region. last, subtract the triangle area from the sector area to find the area of the shaded region. sector area = 78.6794 cm² triangle area = 70.4956 cm² area of the shaded region = ? cm² round to four decimal places.

Explanation:

Step1: Identify the formula for finding shaded - area

The formula is $A = A_{sector}-A_{triangle}$, where $A$ is the area of the shaded region, $A_{sector}$ is the area of the sector, and $A_{triangle}$ is the area of the triangle.

Step2: Substitute the given values

We are given $A_{sector}=78.6794\ cm^{2}$ and $A_{triangle}=70.4956\ cm^{2}$. So, $A = 78.6794 - 70.4956$.

Step3: Calculate the result

$A=8.1838\ cm^{2}$

Answer:

$8.1838$