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Nutka1998 [239]
3 years ago
5

This exercise involves the formula for the area of a circular sector. find the area of a sector with central angle 3π/5 rad in a

circle of radius 9 m. (round your answer to one decimal places.)
Mathematics
1 answer:
netineya [11]3 years ago
8 0
The formula of interest is
  A = (1/2)r²·θ
You have r = 9 m, θ = 3π/5. Then the area is
  A = (1/2)(9 m)²(3π/5) = 24.3π m²

The sector area is ...
  A ≈ 76.3 m²
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x^2+y^2+14x+10y=7\\\\x^2+14x+y^2+10y=7\\\\x^2+2x\cdot7+y^2+2y\cdot5=7\\\\\underbrace{x^2+2x\cdot7+7^2}_{Use\ (*)}-7^2+\underbrace{y^2+2y\cdot5+5^2}_{Use\ (*)}-5^2=7\\\\(x+7)^2-49+(y+5)^2-25=7\\\\(x+7)^2+(y+5)^2-74=7\ \ \ \ |add\ 74\ to\both\ sides\\\\(x+7)^2+(y+5)^2=81\\\\(x+7)^2+(y+5)^2=9^2

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