To solve this problem, we will use the following formula for determining the area of a sector:
[tex]A=\frac{\theta}{360}\times\pi r^2,[/tex]
where r is the radius of the circle, and θ is the central angle in degrees.
Substituting r= 20 cm, and θ=30 in the above formula, we get:
[tex]A=\frac{30}{360}\times\pi(20cm)^2.[/tex]
Simplifying, we get:
[tex]A\approx104.72cm^2.[/tex]
Answer:
[tex]104.72cm^2.[/tex]
