AREAS RELATED TO CIRCLES Test

AREAS RELATED TO CIRCLES

This is AREAS RELATED TO CIRCLES Test-01 for CBSE class 10 Maths.. There are 15 questions in this test with each question having around four answer choices.

Questions & Answers

1
The area of a circle is 38.5 sq. cm. Its circumference is
  • A
    33cm
  • B
    44cm
  • C
    11cm
  • D
    22cm
    Correct
2
The circumference of a circle whose diameter is 4.2cm is
  • A
    22 cm
  • B
    4.2 cm
  • C
    13.2cm
    Correct
  • D
    11 cm
3
The length of the wire is 66m. The number of circles of circumference 13.2cm can be made from the wire is
  • A
    500
    Correct
  • B
    5000
  • C
    50
  • D
    1
4
The perimeter of a protractor is
  • A
    \(\begin{array}{*{20}{l}} {\pi r} \end{array}\)
  • B
    \(\begin{array}{*{20}{l}} {\pi {\text{ }} + {\text{ }}2r} \end{array}\)
  • C
    \(\begin{array}{*{20}{l}} {\pi {\text{ }} + {\text{ }}r} \end{array}\)
  • D
    \(\pi r{\text{ }} + {\text{ }}2r\)
    Correct
5
The circumference of a circle exceeds its diameter by 120cm, then its radius is
  • A
    14cm
  • B
    28cm
    Correct
  • C
    56cm
  • D
    42cm
6
The area of a square inscribed in a circle of diameter ‘d’ is
  • A
    \(\frac{{{d^2}}}{4}\)
  • B
    \(\frac{{{d^2}}}{2}\)
    Correct
  • C
    \({d^2}\)
  • D
    \(\frac{d}{2}\)
7
The distance covered by a circular wheel of diameter ‘d’ in 100 revolutions is
  • A
    \(\begin{array}{*{20}{l}} {100\pi d} \end{array}\)
    Correct
  • B
    \(\begin{array}{*{20}{l}} {\pi d} \end{array}\)
  • C
    \(100\pi \)
  • D
    100d
8
The radius of the circle whose area is equal to the sum of the areas of the two circles of radii 24cm and 7cm is
  • A
    31cm
  • B
    7cm
  • C
    24cm
  • D
    25cm
    Correct
9
The radius of the circle whose circumference is equal to the sum of the circumferences of the two circles of radii 24cm and 7cm is
  • A
    7cm
  • B
    24cm
  • C
    25cm
  • D
    31cm
    Correct
10
If the sum of the areas of two circles with radii r1 and r2 is equal to the area of the circle of radius R, then
  • A
    \(\begin{array}{*{20}{l}} {{R^2} - {\text{ }}{r_1}^2 = {\text{ }}{r_2}^2} \end{array}\)
  • B
    \({R^2} = {\text{ }}{r_1}^2 + {\text{ }}{r_2}^2\)
    Correct
  • C
    \(\begin{array}{*{20}{l}} {{R^2} = {\text{ }}{r_1}^2 - \;{r_2}^2} \end{array}\)
  • D
    \(\begin{array}{*{20}{l}} {{R^2} + {\text{ }}{r_1}^2 = {\text{ }}{r_2}^2} \end{array}\)
11
The perimeter of a semicircular protractor whose radius is 7cm is
  • A
    36cm
    Correct
  • B
    72cm
  • C
    18cm
  • D
    27cm
12
If the radius of the circle is \(\frac{7}{{\sqrt \pi }}\)cm, then its area is
  • A
    45sq. cm
  • B
    49sq. cm
    Correct
  • C
    22 sq. cm
  • D
    98sq. cm
13
The area of a circle is 2464 sq. cm, then its diameter is given by
  • A
    7cm
  • B
    14cm
  • C
    56cm
    Correct
  • D
    28cm
14
If ‘r’ is the radius of a circle, then its perimeter is given by
  • A
    \(\begin{array}{*{20}{l}} {2\pi d} \end{array}\)
  • B
    \(\begin{array}{*{20}{l}} {\pi r} \end{array}\)
  • C
    none of these
  • D
    \(2\pi r\)
    Correct
15
The area of a sector of a circle with sector angle θ is given by
  • A
    \(\frac{{\pi r\theta }}{{360}}\)
  • B
    \(\frac{{\pi {r^2}\theta }}{{180}}\)
  • C
    \(\frac{{\pi {r^2}\theta }}{{360}}\)
    Correct
  • D
    \(\frac{{2\pi r}}{{360}}\)