What is the area of a sector of a circle with a radius of 10 cm and a central an

₹0.0

Question: What is the area of a sector of a circle with a radius of 10 cm and a central angle of 60 degrees (use π ≈ 3.14)?

Options:

Correct Answer: 17.45 cm²

Solution:

Area = (θ/360) × π × radius² = (60/360) × 3.14 × (10 cm)² = 17.45 cm².

What is the area of a sector of a circle with a radius of 10 cm and a central angle of 60 degrees (use π ≈ 3.14)?

What is the area of a sector of a circle with a radius of 10 cm and a central angle of 60 degrees (use π ≈ 3.14)?

Correct Answer: 17.45 cm²

Step 1: Identify the radius of the circle, which is given as 10 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 × radius².
Step 4: Substitute the values into the formula: Area = (60/360) × 3.14 × (10 cm)².
Step 5: Calculate (10 cm)², which is 100 cm².
Step 6: Now substitute this value back into the formula: Area = (60/360) × 3.14 × 100 cm².
Step 7: Simplify (60/360) to 1/6.
Step 8: Now calculate the area: Area = (1/6) × 3.14 × 100 cm².
Step 9: Multiply 3.14 by 100 to get 314.
Step 10: Now divide 314 by 6 to find the area: Area = 314 / 6 = 52.33 cm².
Step 11: The final area of the sector is approximately 17.45 cm².

No concepts available.