AREAS RELATED TO CIRCLES Test

AREAS RELATED TO CIRCLES

This is AREAS RELATED TO CIRCLES Test-04 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
A piece of wire 20cm long is bent into the form of an arc of a circle subtending an angle of 60 at its centre. The radius of the circle is
  • A
    \(\frac{{20}}{{6 + \pi }}{\text{ cm}}\)
  • B
    \(\frac{{30}}{{6 + \pi }}{\text{ cm}}\)
  • C
    \(\frac{{15}}{{6 + \pi }}{\text{ cm}}\)
  • D
    \(\frac{{60}}{{6 + \pi }}{\text{ cm}}\)
    Correct
2
A square of side 7cmis inscribed in a circle. The area enclosed between the circle and the square is
  • A
    35sq. cm
  • B
    42sq.cm
  • C
    49sq. cm
  • D
    28sq. cm
    Correct
3
On a square handkerchief, nine circular designs each of radius 7cmare made. The area of the remaining portion of the handkerchief is
  • A
    300sq. cm
  • B
    375sq. cm
  • C
    378sq. cm
    Correct
  • D
    200sq. cm
4
The radius of a circle is 20cm Three more concentric circles are drawn inside it in such a way that it is divided into four parts of equal area. The radius of the largest of the three concentric circles is
  • A
    \(10\sqrt {3{\text{ }}} cm\)
    Correct
  • B
    none of these.
  • C
    \(8\sqrt 3 cm\)
  • D
    \(14\sqrt 3 cm\)
5
A rectangle whose sides 4cm and 3cm is inscribed in a circle. The area enclosed between them is
  • A
    \(\frac{{100}}{{14}}c{m^2}\)
  • B
    \(\frac{{107}}{{14}}c{m^2}\)
    Correct
  • C
    \(\frac{{107}}{7}c{m^2}\)
  • D
    none of these
6
If the area of a circle is ‘A’, radius of the circle is ‘r’ and its circumference is ‘C’, then
  • A
    rC = 2A
    Correct
  • B
    \(\frac{A}{r} = C\)
  • C
    \(AC = \frac{{{r^2}}}{4}\)
  • D
    \(\frac{C}{A} = \frac{r}{2}\)
7
The area of a quadrant of a circle whose circumference is 88cm is
  • A
    22 sq. cm
  • B
    38.5 sq. cm
  • C
    154 sq. cm
    Correct
  • D
    77 sq. cm
8
The perimeter of a sector of a circle with radius 5.7cm is 27.4cm. The length of the arc is
  • A
    14cm
  • B
    16cm
    Correct
  • C
    11cm
  • D
    15cm
9
If the area of the sector with sector angle \(60^\circ \;\;is\;\;\frac{{132}}{7}c{m^2}\) , then its radius is
  • A
    12cm
  • B
    14cm
  • C
    6cm
    Correct
  • D
    7cm
10
If the area of a quadrant is \(\frac{{88}}{7}c{m^2}\), then its circumference is given by
  • A
    8π cm
    Correct
  • B
    2π cm
  • C
    14 cm
  • D
    7π cm
11
The perimeter of a sector of a circle with radius ‘r’ and with sector angle θ is given by
  • A
    \(2r + \frac{\theta }{{360}}3\pi r\)
  • B
    \(\frac{{2\pi r\theta }}{{360}}\)
  • C
    \(2r + \frac{\theta }{{180}}2\pi r\)
  • D
    \(2r + \frac{\theta }{{360}}2\pi r\)
    Correct
12
The angle described by the hour hand in 2 hours is
  • A
    360\(^\circ \)
  • B
    30\(^\circ \)
  • C
    90\(^\circ \)
  • D
    60\(^\circ \)
    Correct
13
The angle described by the minute hand in 5 minutes is
  • A
    60\(^\circ \)
  • B
    30\(^\circ \)
    Correct
  • C
    90\(^\circ \)
  • D
    360\(^\circ \)
14
If a chord of a circle of radius 7cm subtends a right angle at the centre of the circle, then the area of the minor segment is
  • A
    42 sq. cm
  • B
    56 sq. cm
  • C
    28 sq. cm
  • D
    14 sq. cm
    Correct
15
The length of the minute hand of a clock is 14cm. The area swept by the minute hand in 1 hour is
  • A
    628 sq. cm
  • B
    516 sq. cm
  • C
    616 sq. cm
    Correct
  • D
    542 sq. cm