Answer
Verified
446.7k+ views
Hint: A concave polygon is a polygon with sides more than 4. Draw a concave polygon, if measuring the angle we will get angles that are greater than \[{{180}^{\circ }}\]. Take the example of a star to prove the same.
Complete step-by-step answer:
A polygon which has at least one angle that measures more than \[{{180}^{\circ }}\] is called a concave polygon. The vertices of this polygon are inwards as well as outwards.
The figure shows a concave polygon.
A concave polygon has one or more interior angles that are greater than \[{{180}^{\circ }}\]. A concave polygon can have any number of sides but it should be greater than 4.
From the figure you can say that,
\[\angle ABC={{250}^{\circ }},\angle HGF={{300}^{\circ }}\]
Both these angles are greater than \[{{180}^{\circ }}\] and they are projected as interior angles of the concave polygon.
All the concave polygons are irregular since the interior angle of the polygons are of different measures. You can also consider a star as a concave polygon as it has one or more interior angles greater than \[{{180}^{\circ }}\] and has more than 4 sides.
\[\therefore \] A concave polygon has one or more interior angles more than \[{{180}^{\circ }}\].
\[\therefore \] Option (c) is the correct answer.
Note: In a concave polygon one or more interior angles should be greater than \[{{180}^{\circ }}\]. But in a convex polygon, all its interior angles should be less than \[{{180}^{\circ }}\]. The vertices of the polygon will point outwards, away from the interior of the shape.
Complete step-by-step answer:
A polygon which has at least one angle that measures more than \[{{180}^{\circ }}\] is called a concave polygon. The vertices of this polygon are inwards as well as outwards.
The figure shows a concave polygon.
A concave polygon has one or more interior angles that are greater than \[{{180}^{\circ }}\]. A concave polygon can have any number of sides but it should be greater than 4.
From the figure you can say that,
\[\angle ABC={{250}^{\circ }},\angle HGF={{300}^{\circ }}\]
Both these angles are greater than \[{{180}^{\circ }}\] and they are projected as interior angles of the concave polygon.
All the concave polygons are irregular since the interior angle of the polygons are of different measures. You can also consider a star as a concave polygon as it has one or more interior angles greater than \[{{180}^{\circ }}\] and has more than 4 sides.
\[\therefore \] A concave polygon has one or more interior angles more than \[{{180}^{\circ }}\].
\[\therefore \] Option (c) is the correct answer.
Note: In a concave polygon one or more interior angles should be greater than \[{{180}^{\circ }}\]. But in a convex polygon, all its interior angles should be less than \[{{180}^{\circ }}\]. The vertices of the polygon will point outwards, away from the interior of the shape.
Recently Updated Pages
How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE
Mark and label the given geoinformation on the outline class 11 social science CBSE
When people say No pun intended what does that mea class 8 english CBSE
Name the states which share their boundary with Indias class 9 social science CBSE
Give an account of the Northern Plains of India class 9 social science CBSE
Change the following sentences into negative and interrogative class 10 english CBSE
Trending doubts
A group of fish is known as class 7 english CBSE
The highest dam in India is A Bhakra dam B Tehri dam class 10 social science CBSE
Write all prime numbers between 80 and 100 class 8 maths CBSE
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
Onam is the main festival of which state A Karnataka class 7 social science CBSE
Who administers the oath of office to the President class 10 social science CBSE
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
Kolkata port is situated on the banks of river A Ganga class 9 social science CBSE
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE