MENSURATION MCQ SET 2
1. The in-radius and circumradius of a right angled triangle is 3 cm and 12.5 cm , respectively . The area of the triangle is:
(a) 84 cm^2
(b) 88 cm^2
(c) 48 cm^2
(d) 64 cm^2
Answer: A
2. The area of the largest triangle that can be inscribed in a semicircle of radius 4 cm in square centimeters
(a) 16 cm^2
(b) 14 cm^2
(c) 12 cm^2
(d) 18 cm^2
Answer: A
3. The area of the largest triangle that can be inscribed in a semi – circle of radius 6 cm is :
(a) 35 cm^2
(b) 34 cm^2
(c) 38 cm^2
(d) 36 cm^2
Answer: D
4. The area of a sector of circle with central angle 60 degree is A . The circumference of the circle is c . Then A is equal to :
(a) c^2 /6ฯ
(b) c^2 / 18ฯ
(c) c^2 /24ฯ
(d) c^2 /4ฯ
Answer: C
5. Find the length of the arc of the sector of a circle of diameter 7cm with a central angle of 108 degree . (Use ฯ = 22/7)
(a) 6.6cm
(b) 5.6 cm
(c) 13.2 cm
(d) 11.2 cm
Answer: A
6. If length of the arc = 6cm and radius of circle = 5 cm . Find area of sector of a circle .
(a) 15 cm^2
(b) 20 cm^2
(c) 30 cm^2
(d) 24 cm^2
Answer: A
7. A sector of a circle of radius 10 cm is formed at 60degree angle at the centre . What will be its area (take ฯ = 3.14)?
(a) 52.33 cm^2
(b) 75.28 cm^2
(c) 60.67 cm^2
(d) 55.00 cm^2
ย Answer: A
8. Area of a sector is 1848 m^2 and the central angle of the sector is 270degree . Find the radius of the circle . (Take ฯ = 22/7)
(a) 25 m
(b) 22 m
(c) 27 m
(d) 28 m
Answer: D
9. The inner circumference of a circular path enclosed between two concentric circles is 264m . The uniform width of the circular path is 3m . What is the area (in m^2 , to the nearest whole number) of the path ? (Take ฯ = 22/7)
(a) 696
(b) 948
(c) 756
(d) 820
Answer: D
10. The area of a circular path enclosed by two concentric circles is 3080 m^2 . If the difference between the radius of the outer edge and that of inner edge of the circular path is 10 m , what is the sum (in m) of the two radii? (Take ฯ = 22/7)
(a) 70
(b) 112
(c) 98
(d) 84
Answer: C
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