CBSE Class 10-Mathematics: Chapter –12 Areas Related to Circles Part 19
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Question 11:
Find the area of the shaded region in the given figure where ABCD is a square of side and semi-circle are drawn with each side of the square as diameter.

Find the Area of the Shaded Region

Find the Area of the Shaded Region
Answer:
Let us mark the four unshaved regions as I, II, III and IV
Thus, area of Area of III
Area of ABCD – Area of two semi circles of each of radius
Similarly, area of area of
Hence, area of the unshaded region i.e.,
I, II, III, IV
Thus, area of the shaded region
Area ABCD – Area of (I, II, III and IV)
Question 12:
Find the area of the shaded region where a circular arc of radius 6cm has been drawn with vertex O of an equilateral triangle OAB of side as centre.

Area of the Shaded Region
Answer:
Area of the shaded region
Area of major sector OPLQO Area of equilateral triangle OAB
Question 13:
In Akshita’s house, there is a flowerpot. The sum of radii of circular top and bottom of a flowerpot is and the difference of their circumference is , find the diameter of the circular top and bottom.
Answer:
Sum of radii of circular top and bottom
Let radius of top
Circumference of top
Circumference of bottom
Difference of circumference
By the given condition,
Radius of top
Diameter of top
Radius of bottom
Diameter of bottom