CBSE Class 10-Mathematics: Chapter –12 Areas Related to Circles Part 16

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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.

Answer:

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

Two Consecutive Ribs of the Umbrella

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Answer:

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

Find the Area of the Shaded Region

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Answer:

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

And

Area of the semicircle

Also, area of

Hence, area of the shaded region