10th Standard CBSE - Maths - Areas Related to Circles

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Question - 1

If the perimeter and area of a circle are numerically equal, then the radius of the circle is

  • A 2 units
  • B 7 units
  • C 4 units
  • D π units

Question - 2

If the area of a circle is equal to sum of the areas of two circles of diameters 10 cm and 24 cm, then the diameter of the larger circle (in cm) is

  • A 34
  • B 17
  • C 26
  • D 14

Question - 3

The ratio of radii of two circles is in the ratio of 1:5. Calculate the ratio of their perimeters

  • A 1:8
  • B 1:2
  • C 1:6
  • D 1:5

Question - 4

The area of a sector of a circle of radius 5 cm is 5 cm2. The angle contained by the sector will be

  • A 90°
  • B 45°
  • C 72°
  • D 60°

Question - 5

The inner circumference of a circular track is 440m, and the track is 14m wide. The cost of levelling the track at 25 paise/m2 will be

  • A Rs. 1250
  • B Rs. 1694
  • C Rs. 1684
  • D Rs. 1400

Question - 6

6. Find the circumference of the circle, whose area is 144 cm2

  • A 46 πcm
  • B 24 πcm
  • C 72 πcm
  • D 12 πcm

Question - 7

A pendulum swings through an angle of 300 and describes an arc 8.8cm in length. The length of the pendulum is

  • A 17 cm
  • B 8.8 cm
  • C 15.8 cm
  • D 16.8 cm

Question - 8

From a circular sheet of paper with a radius 20 cm, four circles of radius 5 cm each are cut out. What is the ratio of the uncut to the cut portion?

  • A 4:3
  • B 3:1
  • C 1:3
  • D 4:1

Question - 9

What is the area of a regular hexagon inscribed in a circle of radius r units?

  • A \(\frac { 2 }{ \sqrt { 3 } } { r }^{ 2 }\)sq. units
  • B \(\frac { 3\sqrt { 3 } }{ 2 } { r }^{ 2 }\)sq. units
  • C \(2\sqrt { 3 } \quad { r }^{ 2 }\)sq. units
  • D \(\frac { \sqrt { 3 } }{ 2 } { r }^{ 2 }\)sq. units

Question - 10

The sum of the diameters of two circles is 280 cm and the difference of their circumferences is 88 cm. Then the larger of the two radii is

  • A 63 cm
  • B 44 cm
  • C 77 cm
  • D cannot be determined