Given:
The shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.
Radius of the circle = 3 cm
To find:
The area of the sector in terms of π.
Solution:
The area of a circle is
[tex]A=\pi r^2[/tex]
Substituting [tex]r=3[/tex], we get
[tex]A=\pi (3)^2[/tex]
[tex]A=9\pi[/tex]
It is given that the shaded sector above covers [tex]\dfrac{1}{3}[/tex] of the circle.
The area of shaded sector [tex]=\dfrac{1}{3}A[/tex]
[tex]=\dfrac{1}{3}(9\pi)[/tex]
[tex]=3\pi[/tex]
Therefore, the area of shaded sector is 3π sq. cm.
