The area of the sector is [tex]8.792\text{units}^2[/tex] such that the radius is 12 units and the angle subtended by the arc at the center of the circle is [tex]7^o[/tex].
Area of the sector
Area of the sector is, [tex]A=\pi r^2 \times \dfrac{\theta}{360}[/tex] where, r is the radius of the circle [tex]\theta[/tex] is the angle subtended by the arc at the center of the circle in degrees.
How to determine the area of the sector?
Substitute all the known parameters in the formula of the area of the sector as-
[tex]A=\pi r^2 \times \dfrac{\theta}{360}\\=\pi (12)^2 \times \dfrac{7}{360}\\=8.792\text{units}^2[/tex]
Thus, the area of the sector is [tex]8.792\text{units}^2[/tex].
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