Olympiad – Class X – Mathematics - Areas Related to Circles

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Question - 1

When the circumference and area of a circle are numerically equal, find the numerical value of its diameter.

  • A \(\frac{\pi}{2}\)
  • B 8
  • C 2π
  • D 4

Question - 2

The radius of a circle is 14 m. Find the circumference of the circle.

  • A 616 m
  • B 88 m
  • C 154 m
  • D 176 m

Question - 3

If the radius of a circle is \(\frac{7}{\sqrt{\pi}}\) cm, find the area of the circle.

  • A 154 cm2
  • B \(\frac{49}{\pi} cm^{2}\)
  • C 22 cm2
  • D 49 cm2

Question - 4

If the circumference of a circle is \(\frac{30}{\pi}\), what is the diameter of the circle?

  • A 60π 
  • B \(\frac{15}{\pi}\)
  • C \(\frac{30}{\pi^{2}}\)
  • D 30

Question - 5

If the circumference of a circle is 44 m, what is the area of the circle?

  • A 6084.5 m2
  • B 276.5 m2
  • C 154 m2
  • D 44 m2

Question - 6

A circular grass lawn of 35 m radius, has a path 7 m wide running around it on the outside. Find the area of the path.

  • A 1496 m2
  • B 1450 m2
  • C 1576 m2
  • D 1694 m2

Question - 7

How many plants will be there in a circular bed whose outer edge measures 30 cm allowing 4 cm2 for each plant?

  • A 18
  • B 750
  • C 24
  • D 120

Question - 8

The difference between circumference and radius of a circle is 37 m. Find the circumference of the circle.

  • A 7 m
  • B 44 m
  • C 154 m
  • D 186 m

Question - 9

If the ratio of areas of two circles is 16: 25, what is the respective ratio of their circumferences?

  • A 25:16
  • B 5:4
  • C 4:5
  • D 3:5

Question - 10

If the ratio of circumference of two circles is 4: 9,what is the ratio of their respective areas?

  • A 9:4
  • B 16:81
  • C 4:9
  • D 2:3
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