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All questions of Shapes and Symmetry for Class 8 Exam
What is the sum of the interior angles of a regular pentagon?- a)360 degrees
- b)450 degrees
- c)540 degrees
- d)720 degrees
Correct answer is option 'C'. Can you explain this answer?
a)
360 degrees
b)
450 degrees
c)
540 degrees
d)
720 degrees
 | Shivani Bose answered |
Understanding the Interior Angles of a Pentagon
To find the sum of the interior angles of a regular polygon, we can use a simple formula based on the number of sides the polygon has.
Formula for Sum of Interior Angles
- The formula is: (n - 2) × 180 degrees
- Here, n represents the number of sides of the polygon.
Applying the Formula to a Pentagon
- A pentagon has 5 sides.
- Plugging this into the formula gives us:
- (5 - 2) × 180 degrees
- This simplifies to: 3 × 180 degrees
- Which equals: 540 degrees
Conclusion
- Therefore, the sum of the interior angles of a regular pentagon is 540 degrees, confirming that option 'C' is correct.
Why This Matters
- Understanding the sum of interior angles helps in various fields such as architecture, engineering, and geometry.
- It also serves as a foundational concept for more complex shapes and geometric calculations.
Remember, having a grasp of such concepts can enhance your problem-solving skills in mathematics!
To find the sum of the interior angles of a regular polygon, we can use a simple formula based on the number of sides the polygon has.
Formula for Sum of Interior Angles
- The formula is: (n - 2) × 180 degrees
- Here, n represents the number of sides of the polygon.
Applying the Formula to a Pentagon
- A pentagon has 5 sides.
- Plugging this into the formula gives us:
- (5 - 2) × 180 degrees
- This simplifies to: 3 × 180 degrees
- Which equals: 540 degrees
Conclusion
- Therefore, the sum of the interior angles of a regular pentagon is 540 degrees, confirming that option 'C' is correct.
Why This Matters
- Understanding the sum of interior angles helps in various fields such as architecture, engineering, and geometry.
- It also serves as a foundational concept for more complex shapes and geometric calculations.
Remember, having a grasp of such concepts can enhance your problem-solving skills in mathematics!
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