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I need help with a few questions, so I would greatly appreciate it if you could take the time to help me.

 

1. Find the length \(BC\), to two decimal places.

 

2. A quarter-circle with radius \(5\) is drawn. A circle is drawn inside the sector, which is tangent to the sides of the sector, as shown. Find the radius of the inscribed circle.

 

 

Help is appreciated thank you!
 

 May 24, 2020
 #1
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Angle B = 180 - 61-43 = 76o

 

Law of Sines      says      8 is to sin 76   as    BC is to sin 61o

 

8/sin 76   =  BC/sin61

sin 61  *  8 / sin76 = BC = 7.21

 May 24, 2020
edited by ElectricPavlov  May 24, 2020
 #2
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I got all the way up to the same part you did for the first question, but could you help me calculate it if possible?? Just asking it's fine if you can't.

 May 24, 2020
 #3
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Thank you!

 May 24, 2020

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