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In a circle, if the central angle is 60 degrees, what fraction of the circle's a

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Question: In a circle, if the central angle is 60 degrees, what fraction of the circle\'s area does the sector represent?

Options:

  1. 1/6
  2. 1/3
  3. 1/4
  4. 1/2

Correct Answer: 1/6

Solution:

The area of a sector is proportional to the central angle. Since 60 degrees is 1/6 of 360 degrees, the sector represents 1/6 of the circle\'s area.

In a circle, if the central angle is 60 degrees, what fraction of the circle's a

Practice Questions

Q1
In a circle, if the central angle is 60 degrees, what fraction of the circle's area does the sector represent?
  1. 1/6
  2. 1/3
  3. 1/4
  4. 1/2

Questions & Step-by-Step Solutions

In a circle, if the central angle is 60 degrees, what fraction of the circle's area does the sector represent?
  • Proportionality of Sector Area – The area of a sector in a circle is directly proportional to its central angle relative to the total angle of the circle (360 degrees).
  • Fraction of Circle – Understanding how to express a sector's area as a fraction of the total area of the circle.
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