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If a circle has a radius of 5 cm, what is the area of the sector formed by a 60-

Practice Questions

Q1
If a circle has a radius of 5 cm, what is the area of the sector formed by a 60-degree angle?
  1. 13.09 cm²
  2. 25.00 cm²
  3. 15.71 cm²
  4. 20.94 cm²

Questions & Step-by-Step Solutions

If a circle has a radius of 5 cm, what is the area of the sector formed by a 60-degree angle?
  • Step 1: Identify the radius of the circle, which is given as 5 cm.
  • Step 2: Identify the angle of the sector, which is given as 60 degrees.
  • Step 3: Use the formula for the area of a sector: Area = (θ/360) * πr².
  • Step 4: Substitute the values into the formula: Area = (60/360) * π * (5)².
  • Step 5: Calculate (5)², which is 25.
  • Step 6: Now the formula looks like this: Area = (60/360) * π * 25.
  • Step 7: Simplify (60/360) to (1/6).
  • Step 8: Now the formula is: Area = (1/6) * 25π.
  • Step 9: Calculate (1/6) * 25, which is approximately 4.17.
  • Step 10: Multiply 4.17 by π to get the area, which is approximately 13.09 cm².
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