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Can you explain the answer of this question below:
If the angle formed by the diagonal (passing through the centre of the polygon) with one of the sides of a regular polygon is 7π/ 16, find the number of distinct lines which can be drawn between all the vertices of that polygon.
- A:16
- B:21
- C:120
- D:28
The answer is c.
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Can you explain the answer of this question below:If the angle formed ...
Since, the polygon is regular the diagonal passing through the centre of the polygon will bisect the internal angle.
The angle formed at the centre of the triangle = π-(2 x (7π/16)) = π/8
Hence, the given polygon has 16 sides.
The number of distinct lines between sixteen vertices = 16C2 =120
Hence, option 3
The number of distinct lines between sixteen vertices = 16C2 =120
Hence, option 3
Most Upvoted Answer
Can you explain the answer of this question below:If the angle formed ...
If the angle formed by the diagonal passing through the center of a regular polygon with one of the sides is 7 degrees, it means that the interior angle of the regular polygon is 14 degrees.
To find the measure of each interior angle of a regular polygon, we can use the formula:
Interior angle = (180 - 360/n), where n is the number of sides of the polygon.
Let's substitute the given value of the interior angle:
14 = (180 - 360/n)
Simplifying the equation:
14n = 180 - 360
14n = -180
n = -180/14
n ≈ -12.857
Since the number of sides cannot be negative or a decimal, this solution is not valid.
Therefore, there is no regular polygon where the angle formed by the diagonal passing through the center with one of the sides is 7 degrees.
To find the measure of each interior angle of a regular polygon, we can use the formula:
Interior angle = (180 - 360/n), where n is the number of sides of the polygon.
Let's substitute the given value of the interior angle:
14 = (180 - 360/n)
Simplifying the equation:
14n = 180 - 360
14n = -180
n = -180/14
n ≈ -12.857
Since the number of sides cannot be negative or a decimal, this solution is not valid.
Therefore, there is no regular polygon where the angle formed by the diagonal passing through the center with one of the sides is 7 degrees.
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Can you explain the answer of this question below:If the angle formed ...
Since, the polygon is regular the diagonal passing through the centre of the polygon will bisect the internal angle.
The angle formed at the centre of the triangle = π-(2 x (7π/16)) = π/8
Hence, the given polygon has 16 sides.
The number of distinct lines between sixteen vertices = 16C2 =120
Hence, option 3
The number of distinct lines between sixteen vertices = 16C2 =120
Hence, option 3
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Can you explain the answer of this question below:If the angle formed by the diagonal (passing through the centre of the polygon) with one of the sides of a regular polygon is 7π/ 16, find the number of distinct lines which can be drawn between all the vertices of that polygon.A:16B:21C:120D:28The answer is c.
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Can you explain the answer of this question below:If the angle formed by the diagonal (passing through the centre of the polygon) with one of the sides of a regular polygon is 7π/ 16, find the number of distinct lines which can be drawn between all the vertices of that polygon.A:16B:21C:120D:28The answer is c. for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Can you explain the answer of this question below:If the angle formed by the diagonal (passing through the centre of the polygon) with one of the sides of a regular polygon is 7π/ 16, find the number of distinct lines which can be drawn between all the vertices of that polygon.A:16B:21C:120D:28The answer is c. covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:If the angle formed by the diagonal (passing through the centre of the polygon) with one of the sides of a regular polygon is 7π/ 16, find the number of distinct lines which can be drawn between all the vertices of that polygon.A:16B:21C:120D:28The answer is c..
Can you explain the answer of this question below:If the angle formed by the diagonal (passing through the centre of the polygon) with one of the sides of a regular polygon is 7π/ 16, find the number of distinct lines which can be drawn between all the vertices of that polygon.A:16B:21C:120D:28The answer is c. for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about Can you explain the answer of this question below:If the angle formed by the diagonal (passing through the centre of the polygon) with one of the sides of a regular polygon is 7π/ 16, find the number of distinct lines which can be drawn between all the vertices of that polygon.A:16B:21C:120D:28The answer is c. covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Can you explain the answer of this question below:If the angle formed by the diagonal (passing through the centre of the polygon) with one of the sides of a regular polygon is 7π/ 16, find the number of distinct lines which can be drawn between all the vertices of that polygon.A:16B:21C:120D:28The answer is c..
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Can you explain the answer of this question below:If the angle formed by the diagonal (passing through the centre of the polygon) with one of the sides of a regular polygon is 7π/ 16, find the number of distinct lines which can be drawn between all the vertices of that polygon.A:16B:21C:120D:28The answer is c., a detailed solution for Can you explain the answer of this question below:If the angle formed by the diagonal (passing through the centre of the polygon) with one of the sides of a regular polygon is 7π/ 16, find the number of distinct lines which can be drawn between all the vertices of that polygon.A:16B:21C:120D:28The answer is c. has been provided alongside types of Can you explain the answer of this question below:If the angle formed by the diagonal (passing through the centre of the polygon) with one of the sides of a regular polygon is 7π/ 16, find the number of distinct lines which can be drawn between all the vertices of that polygon.A:16B:21C:120D:28The answer is c. theory, EduRev gives you an
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