Question

a circle with a area of 9 pi has a sector with a central angle of 1/9 pi radiant what is the area of the sector

Answer 1

½ pi

Explanation:

Area of sector

= ((pi/9)/2pi) × area of the circle

= (1/18) × 9pi

= ½ pi

Answer 2

The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle.