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Quantitative Aptitude

MENSURATION MCQs

Regular Polygons, Triangles, Circles

Total Questions : 254 | Page 6 of 26 pages
Question 51. What will be the radius of a circle  whose diameter is 20 cm?
  1.    10 cm
  2.    15 cm
  3.    20 cm
  4.    40 cm
 Discuss Question
Answer: Option A. -> 10 cm
:
A
Given that
The diameter of a circle = 20 cm
The radius of a circle = Diameter2
On substituting the values we get:
The radius of the circle =202=10cm
Question 52. What will be the diameter of a circle whose radius is 15cm?
  1.    5cm
  2.    30cm
  3.    45cm
  4.    15cm
 Discuss Question
Answer: Option B. -> 30cm
:
B
Radius =15 cm
Diameter =2×radius
= 2×15
= 30 cm
Question 53. If the diameter of a circle is 32 cm, its radius is equal to ___ .
  1.    14 cm
  2.    16 cm
  3.    18 cm
  4.    32 cm
 Discuss Question
Answer: Option B. -> 16 cm
:
B
Given that
The diameter of a circle = 32 cm
The radius of a circle = Diameter2
On substituting the values we get:
The radius of the circle whose diameter is 32 cm=322=16cm
Question 54. In a circle of radius 6cm, which of the following cannot be the length of a chord?
  1.    8cm
  2.    10cm
  3.    14cm
  4.    12cm
 Discuss Question
Answer: Option C. -> 14cm
:
C
In a circle of radius 6cm, the diameter will be 12 cm.
A chord is a line segment with its endpoints on the circle and we know that diameter of a circle is the largest chord of the circle.
So a chord cannot be longer than 12cm.
Question 55. Find the radius of a circle whose diameter is 96 cm.
  1.    192 cm
  2.    42 cm
  3.    48 cm
  4.    45 cm
 Discuss Question
Answer: Option C. -> 48 cm
:
C
Given that
The length of the diameter of a circle = 96 cm
We know that,radius of a circle = Diameter2
On substituting the values we get:
Radius of circle = 962=48cm
Question 56. The ____ divides the circle into two equal parts.
  1.    Diameter
  2.    Radius
  3.    Circle
  4.    Circumference
 Discuss Question
Answer: Option A. -> Diameter
:
A
The diameter divides a circle into two equal parts.
The ____ Divides The Circle Into Two Equal Parts.
Question 57. Find the diameter of a circle of radius 48 cm.
  1.    98 cm
  2.    96 cm
  3.    100 cm
  4.    95 cm
 Discuss Question
Answer: Option B. -> 96 cm
:
B
Given that
The radius of a circle = 48 cm
The diameter of a circle = radius × 2
On substituting the values we get;
The diameter of the circle = 48 × 2 = 96 cm
Question 58. Identify longest chords in the given figure.
Identify Longest Chords In The Given Figure.
  1.    CD, AD
  2.    AB, BC
  3.    AB, CD
  4.    BC, AD
 Discuss Question
Answer: Option D. -> BC, AD
:
D
The chords of the given circle are AB, CD, BC and AD.
The diameter of a circle is its longest chord.
Since BC and AD pass through the center(O) of the circle, they are the diameters of the circle and hence, the longest chords.
Question 59. If the radius of a circle is a multiple of 3, then the diameter will be a multiple of
  1.    3
  2.    6
  3.    both 3 and 6
  4.    5
 Discuss Question
Answer: Option C. -> both 3 and 6
:
C
Given that
The radius of a circle is a multiple of 3.
So, the radius of the circle can be 3n, where n is any natural number.
Now, Diameter of a circle = radius × 2 = 3n× 2 = 6 ×n
Hence, the diameter of the circle is a multiple of both 3 and 6.
Question 60. Which of the following cannot be the length of chord of a circle of radius 4 cm?
  1.    12 cm
  2.    6.5 cm
  3.    6 cm
  4.    7 cm
 Discuss Question
Answer: Option A. -> 12 cm
:
A
Given that
The radius of a circle is 4 cm.
The diameter of the circle = 4 × 2 = 8 cm
The diameter is the longest chord of a circle. Hence, the length of any chord cannot be more than 8 cm.

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