Answer:
see explanation
Step-by-step explanation:
The area (A) of the sector of a circle is
A = area of circle × fraction of circle
= πr² × [tex]\frac{\frac{\pi }{3} }{2\pi }[/tex]
diameter = 12.4 ⇒ r = 6.2, thus
A = π × 6.2² × [tex]\frac{1}{6}[/tex]
= π × 38.44 × [tex]\frac{1}{6}[/tex]
= [tex]\frac{38.44\pi }{6}[/tex] ≈ 20.13 m² ( to 2 dec. places )
