Question

Sector Area & Arc Length What is the area of the shaded sector? ​

Answer 1

`\textit{arc's length}\\\\ s = \cfrac{\theta \pi r}{180} \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=46\\ \theta =88 \end{cases}\implies s=\cfrac{(88)\pi (46)}{180}\implies s=\cfrac{1012\pi }{45}\implies s\approx 70.65`

Answer 2

Step-by-step explanation: 70.7

Given:

r=46

angle from arc =88

Formula and Explanation of formula:

You want to find the proportion/precent of the circle you want to find and multiply it by the full length of the circle, which is the circumference.

`L=(Part of circle)/(full circle) Circumference\\\\\\L=(Part of circle)/(full circle) 2\pi r`

Plug Given into Formula:

`L=((88)/(360))(2)\pi (46)` Plug into calculator

L = 70.7