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The sum of the internal angles of a regular polygon is 1440°. The number of sides is:
- a)6
- b)8
- c)10
- d)12
Correct answer is option 'C'. Can you explain this answer?
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The sum of the internal angles of a regular polygon is 1440°. The num...
Let the number of sides of regular polygon be n.
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(n – 2) × 180 = 1440° ⇒ n = 10
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The sum of the internal angles of a regular polygon is 1440°. The num...
Given information:
- The sum of the internal angles of a regular polygon is 1440°.
Objective:
- Determine the number of sides of the regular polygon.
Solution:
To solve this problem, we can use the formula for the sum of the internal angles of a regular polygon:
Sum of interior angles = (n - 2) * 180°
where n is the number of sides of the polygon.
1. Substitute the given information:
We are given that the sum of the internal angles is 1440°. So, we can substitute this value into the formula:
1440° = (n - 2) * 180°
2. Solve the equation:
To find the value of n, we can rearrange the equation:
(n - 2) * 180° = 1440°
Divide both sides of the equation by 180°:
n - 2 = 8
Add 2 to both sides of the equation:
n = 10
3. Answer:
Therefore, the number of sides of the regular polygon is 10. Hence, the correct answer is option 'C'.
- The sum of the internal angles of a regular polygon is 1440°.
Objective:
- Determine the number of sides of the regular polygon.
Solution:
To solve this problem, we can use the formula for the sum of the internal angles of a regular polygon:
Sum of interior angles = (n - 2) * 180°
where n is the number of sides of the polygon.
1. Substitute the given information:
We are given that the sum of the internal angles is 1440°. So, we can substitute this value into the formula:
1440° = (n - 2) * 180°
2. Solve the equation:
To find the value of n, we can rearrange the equation:
(n - 2) * 180° = 1440°
Divide both sides of the equation by 180°:
n - 2 = 8
Add 2 to both sides of the equation:
n = 10
3. Answer:
Therefore, the number of sides of the regular polygon is 10. Hence, the correct answer is option 'C'.
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The sum of the internal angles of a regular polygon is 1440°. The number of sides is:a)6b)8c)10d)12Correct answer is option 'C'. Can you explain this answer?
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The sum of the internal angles of a regular polygon is 1440°. The number of sides is:a)6b)8c)10d)12Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about The sum of the internal angles of a regular polygon is 1440°. The number of sides is:a)6b)8c)10d)12Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The sum of the internal angles of a regular polygon is 1440°. The number of sides is:a)6b)8c)10d)12Correct answer is option 'C'. Can you explain this answer?.
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