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The number of diagonals in a decagon is
- a)30
- b)35
- c)45
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The number of diagonals in a decagon isa)30b)35c)45d)none of theseCorr...
Hint: The number of diagonals in a polygon of n sides is 1/2n (n–3).
Most Upvoted Answer
The number of diagonals in a decagon isa)30b)35c)45d)none of theseCorr...
Diagonals in a Decagon
A decagon is a polygon with ten sides. In this question, we are asked to find the number of diagonals in a decagon.
Formula:
The formula to find the number of diagonals in a polygon is:
n(n-3)/2
Where n is the number of sides of the polygon.
Applying the formula for a decagon:
n = 10
Number of diagonals = 10(10-3)/2
= 10(7)/2
= 35
Therefore, option B, 35, is the correct answer.
A decagon is a polygon with ten sides. In this question, we are asked to find the number of diagonals in a decagon.
Formula:
The formula to find the number of diagonals in a polygon is:
n(n-3)/2
Where n is the number of sides of the polygon.
Applying the formula for a decagon:
n = 10
Number of diagonals = 10(10-3)/2
= 10(7)/2
= 35
Therefore, option B, 35, is the correct answer.
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Community Answer
The number of diagonals in a decagon isa)30b)35c)45d)none of theseCorr...
Times 10 equals 70; each diagonal is counted twice, so the final answer is 35. Now, using combinations and such: There are ("10 choose 2") pairs of vertices, which equals 45. So there are 45 line segments joining pairs of vertices. Exactly 10 of those are sides of the decagon, the others are diagonals.
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The number of diagonals in a decagon isa)30b)35c)45d)none of theseCorrect answer is option 'B'. Can you explain this answer?
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