Question: What is the area of a sector with a central angle of 60 degrees in a circle of radius 6 cm?
Options:
6π cm²
12π cm²
3π cm²
9π cm²
Correct Answer: 6π cm²
Solution:
Area of sector = (θ/360) * πr² = (60/360) * π(6)² = (1/6) * 36π = 6π cm².
What is the area of a sector with a central angle of 60 degrees in a circle of r
Practice Questions
Q1
What is the area of a sector with a central angle of 60 degrees in a circle of radius 6 cm?
6π cm²
12π cm²
3π cm²
9π cm²
Questions & Step-by-Step Solutions
What is the area of a sector with a central angle of 60 degrees in a circle of radius 6 cm?
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.
Understanding Degrees – Recognizing that the angle must be in degrees for the formula to apply correctly.
Substituting Values – Correctly substituting the values of θ and r into the formula to compute the area.
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