noahcds9958 noahcds9958
  • 13-11-2019
  • Mathematics
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Question 5 (1 point)

Given circle O with minor arc AB=60 degrees and OA =12. What is the area of sector

AOB? Use 3.14 for pi.

Respuesta :

FelisFelis FelisFelis
  • 13-11-2019

Answer:

The area of sector AOB is 75.36 unit²

Step-by-step explanation:

Consider the provided information.

Circle O with minor arc AB=60 degrees and OA =12.

We need to find the area of sector.

Area of the sector: [tex]A=\frac{\theta }{360} \times \pi r^2[/tex]

Substitute [tex]\theta=60[/tex] and r =12 in above formula.

[tex]A=\frac{60}{360} \times 3.14\times (12)^2[/tex]

[tex]=\frac{1}{6} \times 3.14\times 144[/tex]

[tex]=24\times 3.14[/tex]

[tex]=75.36[/tex]

Hence, the area of sector AOB is 75.36 unit²

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