AREAS RELATED TO CIRCLES Test

AREAS RELATED TO CIRCLES

This is AREAS RELATED TO CIRCLES Test-03 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
If the area of a circle is equal to the area of a square, then the ratio of their perimeters is
  • A
    \(2{\text{ }}:{\text{ }}\pi \)
  • B
    1 : 2
  • C
    \(\begin{array}{*{20}{l}} {\pi {\text{ }}:{\text{ }}2} \end{array}\)
  • D
    \(\sqrt \pi :2\)
    Correct
2
The area of a square that can be inscribed in a circle of radius 10cm is
  • A
    200 sq. cm
    Correct
  • B
    300 sq. cm
  • C
    100 sq. cm
  • D
    150 sq. cm
3
If the area and circumference of a circle are numerically equal, then its radius is
  • A
    2 units
    Correct
  • B
    4 units
  • C
    2π units
  • D
    π units
4
If the radius of a circle is increased by 100%, then its area is increased by
  • A
    100%
  • B
    400%
  • C
    200%
  • D
    300%
    Correct
5
The distance around the circle is called its
  • A
    diameter
  • B
    area
  • C
    radius
  • D
    circumference
    Correct
6
The approximate value of \(\pi = \frac{{62832}}{{20000}}\) is given by the great Indian mathematician
  • A
    Mahveera
  • B
    Aryabhatta
    Correct
  • C
    Ramanujan
  • D
    Bhaskara
7
We generally take π = 22/7 or 3.14 approximately, but π is
  • A
    a natural number
  • B
    an integer
  • C
    a rational number
  • D
    an irrational number
    Correct
8
The diameter of the circle whose area is\(301.84{\text{ }}c{m^2}\) , is
  • A
    12.8 cm
  • B
    19.6 cm
    Correct
  • C
    14.2 cm
  • D
    15.6 cm
9
The wheel of a motorcycle is of radius 35cm. The number of revolutions per minute made by the wheel so as to keep the speed by 66 km/hr is
  • A
    500
    Correct
  • B
    400
  • C
    600
  • D
    700
10
The area of a circle inscribed in a square of side ‘a’ units is
  • A
    \(\frac{1}{4}\pi {a^2}{\text{ }}squnits\)
    Correct
  • B
    \(\frac{1}{3}\pi {a^2}{\text{ }}squnits\)
  • C
    \(\pi {a^2}{\text{ }}squnits\)
  • D
    \(\frac{1}{2}\pi {a^2}{\text{ }}squnits\)
11
A bicycle wheel makes 5000 revolutions in moving 11km. The diameter of the wheel is
  • A
    100cm
  • B
    35cm
  • C
    70cm
    Correct
  • D
    140cm
12
A cow is tied to a pole with 7 m long rope. The area grazed by the cow is
  • A
    156 sq. cm
  • B
    142 sq. cm
  • C
    128 sq. cm
  • D
    154 sq. cm
    Correct
13
In covering a distance of ‘s’metres, a circular wheel of radius ‘r’ metres makes ____ revolutions.
  • A
    \(\frac{{2s}}{{2r}}\)
  • B
    \(\frac{s}{{\pi r}}\)
  • C
    \(\frac{s}{{3\pi r}}\)
  • D
    \(\frac{s}{{2\pi r}}\)
    Correct
14
The wheel of the engine of a train is \(14\frac{2}{7}\)m in circumference makes 7 revolutions in 10 seconds. The speed of the train is
  • A
    48 km/hr
  • B
    18 km/hr
  • C
    24 km/hr
  • D
    36 km/hr
    Correct
15
If the perimeter of a circle is equal to that of a square, then the ratio of their areas is
  • A
    \(\begin{array}{*{20}{l}} {\pi {\text{ }}:{\text{ }}4} \end{array}\)
  • B
    1 : 2
  • C
    \(\begin{array}{*{20}{l}} {4{\text{ }}:{\text{ }}\pi } \end{array}\)
    Correct
  • D
    1 : 4