To find the area of the shaded sector, we can use the formula for the area of a sector of a circle:
Area of Sector = (θ/2) * r²
where θ is the central angle in radians, and r is the radius of the circle.
In this case, we know that the central angle RST is π radians. However, we need the radius to compute the area. Let’s assume that the radius of the circle is r.
Plugging the values into the formula:
Area of Sector = (π/2) * r²
Now, if we substitute the radius, we can calculate the actual area. For example, if the radius is 2 units:
Area = (π/2) * (2)² = (π/2) * 4 = 2π square units.
In summary, the area of the shaded sector depends on the radius of the circle. If the radius is provided, you can easily compute the area by using the formula.