If the measure of central angle ABC is p^2 radians, what is the area of the shaded sector?

To find the area of the shaded sector when the measure of central angle ABC is θ = p2 radians, we can use the formula for the area of a sector of a circle:

Area of Sector = 0.5 × r2 × θ

Where:

  • r is the radius of the circle.
  • θ is the angle in radians.

First, you’ll need to know the radius of the circle to calculate the area. Let’s denote the radius as r. Given that θ is equal to p2, we can substitute this into the formula:

Area of Sector = 0.5 × r2 × p2

Thus, the area of the shaded sector is:

Area = 0.5 × r2 × p2

If you have a specific value for the radius r, you can plug it into this formula to find the exact area of the shaded sector. If not, this is the general expression for the area based on the radius and the central angle provided.

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