goat9260 goat9260
  • 23-03-2022
  • Mathematics
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Work out value x, give answer to 1 decimal place

Work out value x give answer to 1 decimal place class=

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ganjilaya2019
ganjilaya2019 ganjilaya2019
  • 23-03-2022

Answer:

x ≈ 44.6°

Step-by-step explanation:

perimeter of a perfect circle: 2πr = 2π(9) = 18π

perimeter of the circle arc : 25 - 2(9) = 7

The central angle in a full circle is 360 degrees. In the segment of the circle is x degrees. The value of x is obtained using proportionality.

[tex] \frac{360}{x} = \frac{18\pi}{7} \\ \\ x = \frac{7 \times 360}{18\pi} = 44.56[/tex]

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