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List of top Mathematics Questions on Circles asked in UP Board X

A chord of a circle of radius 14 cm subtends an angle of 60° at the centre. Find the areas of the corresponding minor and major segments of the circle.

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A solid is in the shape of a cone standing on a right circular cylinder with both their radii being equal to 7.5 cm and the height of the cone is equal to its radius. If the total height of the solid is 22.5 cm, find the volume of the solid. (Use $\pi = 3.14$, $\sqrt{3} = 1.732$)
  • UP Board X - 2026
  • UP Board X
  • Mathematics
  • Circles
The two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that $\angle PTQ = 2 \angle OPQ$.
  • UP Board X - 2026
  • UP Board X
  • Mathematics
  • Circles
If an arc of a circle of radius 10.5 cm, subtends an angle of 60° at the centre, then find the length of the arc.
  • UP Board X - 2026
  • UP Board X
  • Mathematics
  • Circles
The angle of a sector of a circle with radius 4 cm is 30°. The area of the sector will be :
  • UP Board X - 2026
  • UP Board X
  • Mathematics
  • Circles
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