What is the area of a sector of a circle with a radius of 6 cm and a central angle of 60 degrees? (Use π = 3.14)
Correct Answer: 18.84 cm²
- Step 1: Identify the radius of the circle, which is given as 6 cm.
- Step 2: Identify the central angle of the sector, which is given as 60 degrees.
- Step 3: Use the formula for the area of a sector: Area = (θ/360) × π × r².
- Step 4: Substitute the values into the formula: Area = (60/360) × 3.14 × (6 cm)².
- Step 5: Calculate (6 cm)², which is 36 cm².
- Step 6: Now substitute this value back into the formula: Area = (60/360) × 3.14 × 36 cm².
- Step 7: Simplify (60/360) to 1/6.
- Step 8: Now calculate Area = (1/6) × 3.14 × 36 cm².
- Step 9: Multiply 3.14 by 36, which equals 113.04.
- Step 10: Now divide 113.04 by 6 to find the area: 113.04 / 6 = 18.84 cm².
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