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A circular sector has a central angle of π6 radians and a radius of 9 ft.

What is the area of the sector?

Use 3.14 for pi. Round your answer to the nearest tenth.

Enter your answer in the box.
area = ft2

Respuesta :

Hrishii

Answer:

[tex] \approx \: 21.2 \: {ft}^{2} [/tex]

Step-by-step explanation:

[tex]central \: \angle = \frac{\pi ^{c} }{6} = 30 \degree \\ \\ area \: of \: the \: sector = \frac{30 \degree}{360 \degree} \times \pi {(9)}^{2} \\ \\ = \frac{1}{12} \times 3.14 \times 81 \\ \\ = \frac{1}{12} \times 254.34 \\ \\ = 21.195 \: {ft}^{2} \\ \\ \approx \: 21.2 \: {ft}^{2} [/tex]

Answer:

given

π6radian=30°

radius r =9ft

the area of the sector=30°/360×π×r²

=30/360×22/7×9²=21.214ft²

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