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If the sum of interior angles of a polygon is 900 degrees, what is the number of diagonals it has?
- a)9
- b)14
- c)20
- d)24
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
If the sum of interior angles of a polygon is 900 degrees, what is the...
The sum of interior angles for an ‘n’ sided polygon is
If this value is 900, then the polygon is a heptagon.
The number of diagonals for an ‘n’ sided polygon =
= 14 for a heptagon.
If this value is 900, then the polygon is a heptagon.
The number of diagonals for an ‘n’ sided polygon =
= 14 for a heptagon.
Most Upvoted Answer
If the sum of interior angles of a polygon is 900 degrees, what is the...
Given that sum of Interior angle = 900
We know that exterior angle of a regular polygon = 360
SUM OF ALL THE ANGLES = 900+360
=1260
Number of sides = 180*n = 1260
n = 7
No. of Diagonals = n(n-3)/2
= 7(7-3)/2
= 14
We know that exterior angle of a regular polygon = 360
SUM OF ALL THE ANGLES = 900+360
=1260
Number of sides = 180*n = 1260
n = 7
No. of Diagonals = n(n-3)/2
= 7(7-3)/2
= 14
Community Answer
If the sum of interior angles of a polygon is 900 degrees, what is the...
The sum of the interior angles of a polygon can be calculated using the formula (n-2) * 180 degrees, where 'n' is the number of sides of the polygon. So, in this case, we have:
(n-2) * 180 = 900
Simplifying the equation, we get:
n - 2 = 5
n = 7
Therefore, the polygon has 7 sides.
To find the number of diagonals in a polygon, we can use the formula n * (n-3) / 2, where 'n' is the number of sides. Plugging in the value for 'n', we get:
7 * (7-3) / 2 = 7 * 4 / 2 = 14
Therefore, the polygon has 14 diagonals.
Therefore, the correct answer is option B) 14.
(n-2) * 180 = 900
Simplifying the equation, we get:
n - 2 = 5
n = 7
Therefore, the polygon has 7 sides.
To find the number of diagonals in a polygon, we can use the formula n * (n-3) / 2, where 'n' is the number of sides. Plugging in the value for 'n', we get:
7 * (7-3) / 2 = 7 * 4 / 2 = 14
Therefore, the polygon has 14 diagonals.
Therefore, the correct answer is option B) 14.
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If the sum of interior angles of a polygon is 900 degrees, what is the number of diagonals it has?a)9b)14c)20d)24e)None of theseCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the sum of interior angles of a polygon is 900 degrees, what is the number of diagonals it has?a)9b)14c)20d)24e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of interior angles of a polygon is 900 degrees, what is the number of diagonals it has?a)9b)14c)20d)24e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
If the sum of interior angles of a polygon is 900 degrees, what is the number of diagonals it has?a)9b)14c)20d)24e)None of theseCorrect answer is option 'B'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the sum of interior angles of a polygon is 900 degrees, what is the number of diagonals it has?a)9b)14c)20d)24e)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the sum of interior angles of a polygon is 900 degrees, what is the number of diagonals it has?a)9b)14c)20d)24e)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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