Given:
The radius of the circle is 4 cm.
The angle of the sector JKL is 135°
We need to determine the area of the sector JKL
Area of the sector:
The area of the sector can be determined using the formula,
[tex]A=\frac{\theta}{360^{\circ}} \times \pi r^{2}[/tex]
Substituting [tex]\theta=135^{\circ}[/tex] , [tex]r=4[/tex], we get;
[tex]A=\frac{135^{\circ}}{360^{\circ}} \times (3.14) (4)^{2}[/tex]
[tex]A=\frac{3}{8} \times (3.14) (16)[/tex]
[tex]A=\frac{150.72}{8}[/tex]
[tex]A=18.84 \ cm^2[/tex]
Thus, the area of the sector is 18.84 cm²
