Question

A circle with radius 3 has a sector with a central angle of 17/9π radians.

What is the area of the sector?​

Answer 1

Correct answer: As = 53.38 units²

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

God is with you!!!

Answer 2

Answer: 26.707m2

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