Question

What is the area of a sector with a central angle of pi/3 radians and a diameter of 12.4m

Answer 1

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 × $\frac{\frac{\pi }{3} }{2\pi }$

diameter = 12.4 ⇒ r = 6.2, thus

A = π × 6.2² × $\frac{1}{6}$

   = π × 38.44 × $\frac{1}{6}$

  = $\frac{38.44\pi }{6}$ ≈ 20.13 m² ( to 2 dec. places )