Question

Find the area of a sector with a central angle of 120° and a diameter of 7.3 cm. Round to the nearest tenth.

Answer 1

Answer:
`14cm^(2)`

Explanation:

diameter=7.3cm

radius=
`(diameter)/(2)`

=
`(7.3)/(2)`

=3.65cm

angle =120°

area=
`(angle (tita))/(360)` ×
`(\pi r^(2) )/(1)`

=
`(120)/(360)` ×
`(22)/(7)` ×
`3.65^(2)`

=
`13.95cm^(2)`

≅
`14cm^(2)`