Question: What is the area of a sector of a circle with a radius of 5 cm and a central angle of 120 degrees?
Options:
25π/3 cm²
10π cm²
15π/2 cm²
20π/3 cm²
Correct Answer: 25π/3 cm²
Solution:
Area of sector = (θ/360) * πr² = (120/360) * π(5)² = (1/3) * 25π = 25π/3 cm².
What is the area of a sector of a circle with a radius of 5 cm and a central ang
Practice Questions
Q1
What is the area of a sector of a circle with a radius of 5 cm and a central angle of 120 degrees?
25π/3 cm²
10π cm²
15π/2 cm²
20π/3 cm²
Questions & Step-by-Step Solutions
What is the area of a sector of a circle with a radius of 5 cm and a central angle of 120 degrees?
Area of a Sector – The area of a sector is calculated using the formula (θ/360) * πr², where θ is the central angle in degrees and r is the radius of the circle.
Unit Conversion – Understanding that the area is expressed in square centimeters (cm²) and ensuring the units are consistent throughout the calculation.
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