Question

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



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Answer 1

area of the sector =4π/3 cm²

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