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CBSE Class 10- Mathematics: Chapter – 12 Areas Related to Circles Part 7

Question 15:

Find the area of the shaded region in figure, if radii of the two concentric circles with center O are and respectively and

Illustration: CBSE Class 10- Mathematics: Chapter – 12 Areas Related to Circles Part 7

Answer:

Area of shaded region Area of sector Area of sector

Question 16:

Find the area of the shaded region in figure, if ABCD is a square of side and APD and BPC are semicircles.

Illustration: CBSE Class 10- Mathematics: Chapter – 12 Areas Related to Circles Part 7

Answer:

Area of shaded region

Area of square (Area of semicircle Area of semicircle BPC)

Question 17:

Find the area of the shaded region in figure, where a circular arc of radius has been drawn with vertex O of an equilateral triangle OAB of side as centre.

Illustration: CBSE Class 10- Mathematics: Chapter – 12 Areas Related to Circles Part 7

Answer:

Area of shaded region

Area of circle Area of equilateral triangle Area common to the circle and the triangle

Question 18:

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 figure. Find the area of the remaining portion of the figure.

Illustration: CBSE Class 10- Mathematics: Chapter – 12 Areas Related to Circles Part 7

Answer:

Area of remaining portion of the square

Area of square