A circle with radius 3 has a sector with a central angle of 17/9π radians.
What is the area of the sector?

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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