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Area of Polygons MCQs

1. A seven-sided figure is called:

(A) Square


(B) Octagon


(C) Heptagon


(D) Pentagon




2. If ‘a’ is the side of a polygon of n sides, then its area is:

(A) (n a² / 4) cot(180°/n)


(B) (n a² / 3) (180°/n)


(C) (n a² / 2) sin(360°/n)


(D) None of these




3. Area of a regular polygon of n sides whose radius of circumscribed circle is “R” is:

(A) (nR² / 2) sin(360°/n)


(B) (nR² / n) sin(360°/n)


(C) (R² / 2) cot(180°/n)


(D) None of these




4. Decagon have number of sides:

(A) 8


(B) 9


(C) 10


(D) 12




5. Area of a regular hexagon of side “a” is:

(A) a² / 4


(B) 2√2 a²


(C) (3√3 / 2) a²


(D) 2√3 a²




6. The perimeter of a regular hexagon is 12 cm, its area is:

(A) 10.932 sq. cm


(B) 10.392 sq. cm


(C) 10.239 sq. cm


(D) 10.329 sq. cm




7. Each angle of an octagon is:

(A) 60°


(B) 120°


(C) 135°


(D) 150°




8. Area of regular octagon of side “a” is:

(A) 4.2884 a²


(B) 4.24884 a²


(C) 4.8284 a²


(D) 4.1884 a²




9. A regular polygon having infinite number of sides is called:

(A) Octagon


(B) Hexagon


(C) Circle


(D) Heptagon




10. Area of regular hexagon circumscribed about a circle of radius 2 cm is:

(A) 24√3


(B) 20√3


(C) 36√3


(D) 2√3




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