Find the area of the smaller sector.
Round to the nearest tenth.
77⁰
10.7 th
Area = [? ]in²
![Find the area of the smaller sector. Round to the nearest tenth. 77⁰ 10.7 th Area = [? ]in² class=](https://us-static.z-dn.net/files/ded/367e2b0a91734d8f204bdaa51fe8613c.png)
The Area is 81 [tex]in^{2}[/tex]. Lets see the solution.
Given:
π=[tex]\frac{22}{7}[/tex]
r=10.7
∅ = 77°
Solution :
= [tex]\frac{∅}{360°}[/tex]×π[tex]r^{2}[/tex]
=[tex]\frac{77}{360}[/tex]×[tex]\frac{22}{7}[/tex]×[tex]11^{2}[/tex]
= [tex]\frac{11}{360}[/tex]×22×121
=[tex]\frac{11^{2} }{180}[/tex]
Area =[tex]81in^{2}[/tex]
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