AREAS RELATED TO CIRCLES Test

AREAS RELATED TO CIRCLES

This is AREAS RELATED TO CIRCLES Test-02 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 the square that can be inscribed in a circle of radius 12cm is
  • A
    500 sq. cm
  • B
    144 sq.cm
  • C
    288 sq. cm
    Correct
  • D
    576 sq. cm
2
The area of the circle that can be inscribed in a square of side 10cm is
  • A
    25 sq.cm
  • B
    \(\begin{array}{*{20}{l}} {20\pi {\text{ }}sq.cm} \end{array}\)
  • C
    \(25\pi {\text{ }}sq.cm\)
    Correct
  • D
    \(\begin{array}{*{20}{l}} {10\pi {\text{ }}sq.cm} \end{array}\)
3
If the perimeter of a circle is equal to that of a square, then the ratio of their areas is
  • A
    11 : 14
  • B
    7 : 22
  • C
    14 : 11
    Correct
  • D
    22 : 7
4
The radius of a circle whose circumference is equal to the sum of the circumferences of the two circles of diameters 36cm and 20cm is
  • A
    28cm
    Correct
  • B
    42cm
  • C
    14cm
  • D
    56cm
5
Area of the largest circle that can be inscribed in a semicircle of radius ‘r’ units is
  • A
    \(\frac{{{r^2}}}{{\sqrt 2 }}\)sq.units
  • B
    \({r^2}\)sq.units
    Correct
  • C
    \(\sqrt 2 {r^2}\)sq.units
  • D
    \(\frac{{{r^2}}}{2}\)sq.units
6
If the sum of the circumferences of two circles with radii \({R_1}and{\text{ }}{R_2}\) is equal to the circumference of a circle of radius R, then
  • A
    \({R_1} + {\text{ }}{R_2} = {\text{ }}R\)
    Correct
  • B
    \(\begin{array}{*{20}{l}} {{R_1} + {\text{ }}{R_2} > {\text{ }}R} \end{array}\)
  • C
    \(\begin{array}{*{20}{l}} {{R_1} + {\text{ }}{R_2} < {\text{ }}R} \end{array}\)
  • D
    \({R_1}--{\text{ }}{R_2} = {\text{ }}R\)
7
If the circumference of a circle and the perimeter of a square are equal, then
  • A
    area of the circle = area of the square
  • B
    none of these
  • C
    area of the circle < area of the square
  • D
    area of the circle > area of the square
    Correct
8
The diameter of a circular park is 17.5 m. It is surrounded by a path of width 3.5 m. The area of the path is given by
  • A
    255 sq. m
  • B
    231 sq. m
    Correct
  • C
    220 sq. m
  • D
    175 sq. m
9
The radii of two concentric circles are 19cm and 16cm. The area of the ring enclosed between them is
  • A
    330 sq. cm
    Correct
  • B
    390 sq. cm
  • C
    370 sq. cm
  • D
    350 sq. cm
10
If the difference between the circumference and radius of a circle is 37 m, then the circumference of the circle is given by
  • A
    33 cm
  • B
    44 cm
    Correct
  • C
    55 cm
  • D
    22 cm
11
If a line meets the circle in two distinct points, it is called
  • A
    a tangent
  • B
    a secant
    Correct
  • C
    a diameter
  • D
    a chord
12
\(\pi {r^2}\)gives us the ____ of the circle.
  • A
    radius
  • B
    diameter
  • C
    area
    Correct
  • D
    circumference
13
If O is a fixed point and Q is a point which moves in such a way that the distance OQ remains constant, then the locus of Q is called
  • A
    rhombus
  • B
    rectangle
  • C
    circle
    Correct
  • D
    square
14
The circumference of a circle is \(\frac{{30}}{\pi }cm\), then its radius is
  • A
    \(\frac{{30}}{{{\pi ^2}}}cm\)
    Correct
  • B
    \(\frac{{15}}{\pi }cm\)
  • C
    \(\frac{{30}}{\pi }cm\)
  • D
    \(\frac{{15}}{{{\pi ^2}}}cm\)
15
The area of a ring having ‘R’ as outer radius and ‘r’ as inner radius is
  • A
    \(\pi ({R^2} - {r^2})\)
    Correct
  • B
    \(\pi ({R^2} + {r^2})\)
  • C
    \(\pi (R - r)\)
  • D
    \(\pi (R + r)\)