CBSE Class 10-Mathematics: Chapter – 12 Areas Related to Circles Part 19 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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.

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 6 cm has been drawn with vertex O of an equilateral triangle OAB of side as centre.

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