The area of the
- sector is 72.0039 cm²
- shaded region is 43.1785 cm²
What is area of the shaded region?
The area of the shaded portion, A = area of sector - area of triangle.
Now, Area of sector
Area of sector A = [tex]\theta[/tex]/360 × πr² where
[tex]\theta[/tex] = 129° and
radius of circle = 8 cm
So,
A = [tex]\theta[/tex]/360 × πr²
= 129/360* 3.14* 8 * 8
= 0.3583 *200.96
= 72.0039 cm²
Now, Area of triangle
Area of triangle, A = 1/2r²sin[tex]\theta[/tex]
A = 1/2 * (8 cm)²* sin129°
A = 1/2 * 64cm² * 0.7771
A= 32 cm² * 0.7771
A = 28.8687 cm²
Thus, the Area of the shaded region
= area of sector - area of triangle
= 72.0039 cm² - 28.8687 cm²
= 43.1352 cm²
Hence, the area of the shaded region is 43.1785 cm²
Learn more about area of sector here:
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