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Calculate the area of a sector of a circle with radius 2 m that subtends an angle .

Question

Calculate the area of a sector of a circle with radius 2 m that subtends an angle .

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Solution

To calculate the area of a sector of a circle, we need to know the formula for the area of a sector. The area A A of a sector is given by the formula:

A=θ360×πr2 A = \frac{\theta}{360^\circ} \times \pi r^2

where:

  • A A is the area of the sector,
  • θ \theta is the angle in degrees,
  • r r is the radius of the circle.

Steps to Solve the Problem:

  1. Identify Given Values:

    • Radius r=2m r = 2 \, \text{m}
    • Angle θ \theta (please provide a specific angle).
  2. Substituting Values into the Formula: Substitute the known values into the area formula once the angle θ \theta is provided.

  3. Perform the Calculation: Calculate the area using the substituted values.

  4. Verify and Summarize: Ensure that the calculation follows all mathematical rules and summarize the findings.

Final Answer:

Once you provide the angle θ \theta , I will compute the area accordingly.

This problem has been solved

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