You are using an out of date browser. It may not display this or other websites correctly.
You should upgrade or use an alternative browser.
You should upgrade or use an alternative browser.
Find the Area of the shaded region
- Thread starter isu23pink
- Start date
isu23pink said:[attachment=0:317h05oy]Photo-0159D.jpg[/attachment:317h05oy]
okay so how would i do this type of problem?
The measure of the arc of this sector is given as 45[sup:317h05oy]o[/sup:317h05oy]
What part of the whole circle is this?
The area of the sector is the SAME part of the area of the circle.
(area of sector)/(area of whole circle) = (measure of arc)/360[sup:317h05oy]o[/sup:317h05oy]
Hello, isu23pink!
\(\displaystyle \text{The area of the circle is: }\:A \;=\;\pi r^2 \;=\;\pi(6^2) \;=\;36\pi\text{ cm}^2\)
\(\displaystyle \text{The sector occupies: }\:\frac{45^o}{360^o} \:=\:\frac{1}{8}\text{ of the circle.}\)
\(\displaystyle \text{Therefore, the area of the sector is: }\;\frac{1}{8} \times 36\pi \;=\;\frac{9\pi}{2} \;\approx\;14.14\text{ cm}^2\)
Find the area of the shaded region to the nearest hundredth.
Code:* * * * * * * * *::* *::::: 45 deg * *:::::::* * * * * * * * * 6 cm * * * * * * * * * *
\(\displaystyle \text{The area of the circle is: }\:A \;=\;\pi r^2 \;=\;\pi(6^2) \;=\;36\pi\text{ cm}^2\)
\(\displaystyle \text{The sector occupies: }\:\frac{45^o}{360^o} \:=\:\frac{1}{8}\text{ of the circle.}\)
\(\displaystyle \text{Therefore, the area of the sector is: }\;\frac{1}{8} \times 36\pi \;=\;\frac{9\pi}{2} \;\approx\;14.14\text{ cm}^2\)