If a circle has a radius of 10 m, what is the area of a circle segment formed by

Practice Questions

Q1
If a circle has a radius of 10 m, what is the area of a circle segment formed by a central angle of 120 degrees?
  1. 50π m²
  2. 100π m²
  3. 25π m²
  4. 75π m²

Questions & Step-by-Step Solutions

If a circle has a radius of 10 m, what is the area of a circle segment formed by a central angle of 120 degrees?
  • Area of a Circle Segment – Understanding how to calculate the area of a segment formed by a central angle, which involves finding the area of the sector and subtracting the area of the triangle.
  • Sector and Triangle Area Formulas – Applying the formulas for the area of a sector and the area of a triangle using trigonometric functions.
  • Radians vs Degrees – Recognizing the need to convert degrees to radians if necessary, although not required in this specific problem.
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