Respuesta :

Answer: 26.707m2

Step-by-step explanation:

Area of a sector is theta/360×πr2

Converting radian to degree

1π=180°

17/9π=x°

X°×π= 180°×17/9

X°π=20°×17

X°π=340π

X°= 340°π/π

X°=340°

Radius=3

Area= 340/360×3.142×3×3

Area= 34/36×3.142×9

Area= 17×3.142×9/18

Area= 480.726/18

Area of a sector is 26.707m2

Answer:

Correct answer:  As = 53.38 units²

Step-by-step explanation:

Given:

r = 3 units  circle's radius

Θ = (17/9) π  central angle

As = ?  area of the sector

The formula for calculating the area of a circle sector is:

As = r² · Θ / 2

As = (3² · 17 π) / 9 = 153 π / 9 = 153 · 3.14 / 9 = 53.38 units²

As = 53.38 units²

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