The area of the shaded region of the circle with a radius of 5 inches and an angle of 60° is 13.1 in².
What is a circle?
A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The area of the shaded region of the circle with a radius of 5 inches and an angle made at the center of the circle is 60°. Therefore, the area of the shaded region can be written as,
[tex]\text{Area of the shaded region} = \pi r^2 \times \dfrac{60^o}{360^o}[/tex]
[tex]= \pi \times (5^2) \times \dfrac16\\\\=13.0899\approx 13.1\rm\ in^2[/tex]
Thus, the area of the shaded region of the circle with a radius of 5 inches and an angle of 60° is 13.1 in².
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