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!

Guest May 24, 2020

#1**+1 **

Angle B = 180 - 61-43 = 76^{o}

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

8/sin 76 = BC/sin61

sin 61 * 8 / sin76 = BC =** 7.21**

ElectricPavlov May 24, 2020