supernogamer1 supernogamer1
  • 15-03-2021
  • Mathematics
contestada

A right triangle is inscribed in a circle. Determine the area of the shaded region. Use
3.14 for \piπ and round to the nearest tenth.

A right triangle is inscribed in a circle Determine the area of the shaded region Use 314 for piπ and round to the nearest tenth class=

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irspow
irspow irspow
  • 15-03-2021

Answer:

Step-by-step explanation:

[tex]\text{The radius of the circle is }r=\sqrt{3^2+3^2}\\ \\ r=\sqrt{18}\\ \\ \text{The area is }A=3.14r^2\\ \\ A=3.14(18)\\ \\ A=56.52\\ \\ \text{The area of the triangle is }A=6(6)/2\\ \\ A=18\\ \\ \text{The shaded area is the area of the circle minus the area of the triangle.}\\ \\ A=56.52-18\\ \\ A=38.52ft^2\\ \\ A\approx 38.5ft^2\text{ (rounded to nearest tenth)}[/tex]

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