List of top Mathematics Questions on Circles asked in CBSE Class X

If the area of a sector is one-twelfth that of a complete circle, then the angle of the sector is :
If two tangents inclined at an angle of 60º are drawn to a circle of radius 5 cm, then the length of each tangent is :
A chord of a circle of radius 14 cm subtends an angle of 90° at the centre. Find the area of the corresponding minor and major segments of the circle.
The picture given below shows a circular mirror hanging on the wall with a cord. The diagram represents the mirror as a circle with centre \(O\). \(AP\) and \(AQ\) are tangents to the circle at \(P\) and \(Q\) respectively such that \(AP = 30 \, \text{cm}\) and \(\angle PAQ = 60^\circ\).
Problem Figure
Based on the above information, answer the following questions:
To keep the lawn green and cool, Sadhna uses water sprinklers which rotate in circular shape and cover a particular area. The diagram below shows the circular areas covered by two sprinklers :
Problem Figure