1 Answer

Mohamed Sami · Answer 1 · 2021-04-02T23:31:54+0000

Given:

The radius of the circle is 4 cm.

The central angle is 120°

We need to determine the area of the sector.

Area of the sector:

The area of the sector can be determined using the formula,

$A=((\theta)/(360) )\pi r^2$

Substituting
$\theta=120$ and r = 4 cm, we get;

$A=((120)/(360)) \pi (4)^2$

Simplifying, we get;

$A=((120)/(360)) \pi (16)$

$A=5.33 \pi \ cm^2$

Thus, the area of the sector is 5.33π cm²

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