CBSE Class 10-Mathematics: Chapter –12 Areas Related to Circles Part 20

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Question 14:

A chord of a circle of radius subtends an angle of at the centre. Find the area of the corresponding minor and major segments of the circle. (use) )

Answer:

We know that area of minor segment

Area of minor sector OAB – area of

Again, area of major segment Area of the circle – area of minor segment

Question 15:

Find the area of the shaded region of the two concentric circles with center O and radii and respectively and .

Answer:

Area of the shaded region

area of sector area of sector OBD

Question 16:

From each corner of a square of side , a quadrant of a circle of radius is cut and also a circle of diameter is cut as shown in the figure. Find the area of the remaining portion of the square.

Answer:

Area of the shaded region Area of square (area of quadrant of acircle with radius 1)

Question 17:

The length of the minute hand of clock is . Find the area swept by the minute hand is 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 the sector with sector angle