Mensuration 2D

Question 11

If an area enclosed by a circle or a square or an equilateral triangle is the same, then the maximum perimeter is possessed by:

• circle
• square
• equilateral triangle
• triangle and square have equal perimeters greater than that of circle

Question 12

The area of the largest triangle that can be inscribed in a semi-circle of radius r, is:-

• r^2
• 2r^2
• r^3
• 2r^3

Question 13

An equilateral triangle, a square and a circle have equal perimeters. If T denotes the area of the triangle, S denotes the area of the square, and C denotes the area of the circle, then:

• S < T < C
• T < C < S
• T < S < C
• S < C < T

Question 14

The sides of a triangle are 6 cm, 11 cm and 15 cm. The radius of its in-circle is:

• 3*(2)^0.5
• (4/5)*(2)^0.5
• (5/4)*(2)^0.5
• 6*(2)^0.5

Question 15

The circumference of a circle is 100 cm. The side of a square inscribed in the circle is:

• 50(2^0.5)

• 100/Pi

• [50(2^0.5)]/Pi

• [100(2^0.5)]/Pi

Question 16

In the figure below, ∠DEC+∠BFC is equal to _______ .

• ∠ BCD - ∠ BAD
• ∠ BAD + ∠ BCF
• ∠ BAD + ∠ BCD
• ∠ CBA + ∠ ADC