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

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Question: What is the area of a sector of a circle with a radius of 10 cm and an angle of 60 degrees? (Use π = 3.14)

Options:

Correct Answer: 17.5 cm²

Solution:

Area = (θ/360) × π × r² = (60/360) × 3.14 × (10 cm)² = 17.5 cm².

What is the area of a sector of a circle with a radius of 10 cm and an 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 an angle of 60 degrees? (Use π = 3.14)

Correct Answer: 17.5 cm²

Step 1: Identify the formula for the area of a sector of a circle, which is Area = (θ/360) × π × r².
Step 2: Substitute the values into the formula. Here, θ (the angle) is 60 degrees and r (the radius) is 10 cm.
Step 3: Calculate (60/360). This simplifies to 1/6.
Step 4: Calculate (10 cm)², which is 100 cm².
Step 5: Now substitute these values into the formula: Area = (1/6) × 3.14 × 100 cm².
Step 6: Multiply 3.14 by 100 cm² to get 314 cm².
Step 7: Now divide 314 cm² by 6 to find the area of the sector.
Step 8: The result of 314 cm² divided by 6 is approximately 52.33 cm².
Step 9: Therefore, the area of the sector is approximately 52.33 cm².

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