CBSE Class 10-Mathematics: Chapter – 12 Areas Related to Circles Part 16 (For CBSE, ICSE, IAS, NET, NRA 2022)

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Question 2:

The length of the minute hand of a clock is . Find the area swept by the minute hand in minutes.


Angle covered by minute hand in minutes

Angle covered in 1 minute

Angle covered in 5 minute

We know that area swept by the minute hand during this period

Area of sector with sector angle

Question 3:

An umbrella has 8 ribs which are equally spaced as given in the figure. Assuming umbrella to be a flat circle of radius . Find the area between two consecutive ribs of the umbrella.

Two Consecutive Ribs of the Umbrella


Area between two consecutive ribs of the umbrella

Area of the sector with angle made at centre

Question 4:

Find the area of the shaded region if , and is the centre of the circle.

Find the Area of the Shaded Region


Area of the shaded region

Area of the semi-circle with as centre and as radius – area of

Since QR is a diameter passing through the center O of the circle

Diameter of the circle


Area of the semicircle

Also, area of

Hence, area of the shaded region

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