A sector of a circle whose radius is 4 centimeters, has a central angle of 30 Which of the following. which of following represents the area of this sector in square centimeters?

(1). 12π/5

(2). 8π/15

(3). 4π/3

(4). 6π/5

area of the sector = 4π/3 cm²

Step-by-step explanation:

To find the area of the sector, we will follow the steps below;

first write the formula for finding area of a sector

area of a sector = Ф/360 * πr²

where r is the radius

from the question given

Ф = 30 and radius = 4 centimeters

we can proceed to insert the values into he formula above

area of a sector = Ф/360 * πr²

=30/360 * π*4²

=1/12 * π*16

=16π / 12

=8π/6

=4π/3

area of the sector = 4π/3 cm²