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What is the area of a sector of a circle with radius 6 cm and angle 90 degrees?
What is the area of a sector of a circle with radius 6 cm and angle 90 degrees? (2021)
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Practice Questions
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Q1
What is the area of a sector of a circle with radius 6 cm and angle 90 degrees? (2021)
9π cm²
12π cm²
18π cm²
6π cm²
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Area of sector = (θ/360) × πr² = (90/360) × π(6)² = (1/4) × 36π = 9π cm².
Questions & Step-by-step Solutions
1 item
Q
Q: What is the area of a sector of a circle with radius 6 cm and angle 90 degrees? (2021)
Solution:
Area of sector = (θ/360) × πr² = (90/360) × π(6)² = (1/4) × 36π = 9π cm².
Steps: 8
Show Steps
Step 1: Identify the radius of the circle. Here, the radius (r) is 6 cm.
Step 2: Identify the angle of the sector. Here, the angle (θ) is 90 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 = (90/360) × π(6)².
Step 5: Simplify the fraction 90/360 to 1/4.
Step 6: Calculate (6)², which is 36.
Step 7: Multiply (1/4) by 36π: Area = (1/4) × 36π = 9π.
Step 8: Write the final answer: The area of the sector is 9π cm².
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