subject

Polygons

Math ⇒ Geometry

Polygons starts at 7 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Polygons. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.
See sample questions for grade 12
A convex polygon has 20 diagonals. How many sides does it have?
A regular hexagon is inscribed in a circle of radius 10 cm. What is the length of each side of the hexagon?
A regular polygon has 20 sides. What is the sum of its interior angles?
A regular polygon has 360 diagonals. How many sides does it have?
A regular polygon has 9 sides. What is the measure of each exterior angle?
A regular polygon has each interior angle measuring 150°. How many sides does it have?
Calculate the measure of each interior angle of a regular octagon.
Describe the process to find the area of a regular polygon given the length of a side and the number of sides.
Explain why a regular polygon cannot have an interior angle of 170°.
If a regular polygon has 120° as each interior angle, how many sides does it have?
If a regular polygon has 18 diagonals, how many sides does it have?
If a regular polygon has each exterior angle measuring 24°, how many sides does it have?
If the sum of the measures of the interior angles of a polygon is 2340°, how many sides does the polygon have?
Prove that the sum of the exterior angles of any convex polygon is 360°.
State the difference between a convex and a concave polygon.
The sum of the interior angles of a polygon is 1620°. How many sides does the polygon have?
A regular polygon has an interior angle that is four times its exterior angle. How many sides does the polygon have?
A regular polygon has n sides. If the ratio of the sum of its interior angles to the sum of its exterior angles is 5:1, find n.
A regular polygon is inscribed in a circle of radius 8 cm. If the polygon has 8 sides, calculate its area to two decimal places.
A regular polygon is such that the ratio of the number of its diagonals to the number of its sides is 5. Find the number of sides.