Question: If a circle has a radius of 2 cm, what is the area of the sector formed by a 60-degree angle?
Options:
2.09 cm²
1.05 cm²
0.67 cm²
3.14 cm²
Correct Answer: 2.09 cm²
Solution:
Area of sector = (θ/360) * πr² = (60/360) * π(2)² = (1/6) * 4π ≈ 2.09 cm².
If a circle has a radius of 2 cm, what is the area of the sector formed by a 60-
Practice Questions
Q1
If a circle has a radius of 2 cm, what is the area of the sector formed by a 60-degree angle?
2.09 cm²
1.05 cm²
0.67 cm²
3.14 cm²
Questions & Step-by-Step Solutions
If a circle has a radius of 2 cm, what is the area of the sector formed by a 60-degree angle?
Area of a Sector – The area of a sector of a circle can be calculated using the formula (θ/360) * πr², where θ is the angle in degrees and r is the radius.
Understanding Degrees – Recognizing that the angle must be in degrees for the formula to apply correctly.
Substituting Values – Correctly substituting the radius and angle into the formula to find the area.
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