find the area of the shaded region of circle v below. round your answer to the nearest tenth if necessary
answer attempt 1 out of 2
units² submit answer

Question

Accepted Answer

# Explanation:
## Step1: Find the area of the sector
The formula for the area of a sector is $ A_{sector}=\frac{\theta}{360}\times\pi r^{2} $, where $ \theta = 90^{\circ} $ (since it's a right - angled sector) and $ r = 7 $.
$$
\begin{align*}
A_{sector}&=\frac{90}{360}\times\pi\times7^{2}\
&=\frac{1}{4}\times\pi\times49\
&=\frac{49\pi}{4}\
&\approx\frac{49\times3.14}{4}\
&=38.465
\end{align*}
$$
## Step2: Find the area of the triangle
The formula for the area of a right - angled triangle is $ A_{triangle}=\frac{1}{2}\times base\times height $. Here, $ base = 7 $ and $ height = 7 $.
$$
\begin{align*}
A_{triangle}&=\frac{1}{2}\times7\times7\
&=\frac{49}{2}\
& = 24.5
\end{align*}
$$
## Step3: Calculate the area of the shaded region
The area of the shaded region $ A=A_{sector}-A_{triangle} $.
$$
\begin{align*}
A&=38.465 - 24.5\
&=13.965\
&\approx14.0
\end{align*}
$$

# Answer:
$14.0$

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QUESTION IMAGE

Question

Explanation:

Step1: Find the area of the sector

Step2: Find the area of the triangle

Step3: Calculate the area of the shaded region

Answer: