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What is the Formula for the Area of a Sector of a Circle?

What is the formula for the area of a sector?

Summary

  1. A=πr2 is the area of a circle
  2. We're using the variable N to represent the central angle
  3. Let's plug the information from our example into the equation we just found
  4. Use the order of operations to solve the equation

Notes

    1. The sector is the shaded region of the circle
    2. The central angle is formed by the two sides of the sector
    3. Each side of the sector is a radius of the circle, since they each go from the center of the circle to its edge
    1. The formula for the area of a circle is A = πr2
    1. We're going to find the area of the sector we started with