r = \frac{A}{s} = \frac{48}{16} = 3
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- Using Heron’s formula for the area:
- A = \sqrt{16(16 - 10)(16 - 10)(16 - 12)} = \sqrt{16(6)(6)(4)} = \sqrt{2304} = 48
- The radius $ r $ of the inscribed circle is:
- \boxed{3}
- $$A software developer's app processes 500 data points per hour. If each data point requires 0.2 milliseconds of processing time, how many hours does it take to process 10,000 data points?
- Total processing time for 10,000 data points: 10,000 × 0.2 ms = 2,000 ms.
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