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CBSE Class 10- Mathematics: Chapter β 12 Areas Related to Circles Part 20
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 β area of
Again, area of major segment Area of the circle β 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