Question

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

Answer 1

see explanation

Explanation:

The area (A) of the sector of a circle is

A = area of circle × fraction of circle

= πr² ×
`((\pi )/(3) )/(2\pi )`

diameter = 12.4 ⇒ r = 6.2, thus

A = π × 6.2² ×
`(1)/(6)`

= π × 38.44 ×
`(1)/(6)`

=
`(38.44\pi )/(6)` ≈ 20.13 m² ( to 2 dec. places )