CBSE Class 10-Mathematics: Chapter – 12 Areas Related to Circles Part 18 (For CBSE, ICSE, IAS, NET, NRA 2023)

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Question 8:

In the given figure is an equilateral triangle inscribed in a circle of radius 4 cm and center O. Show that the area of the shaded region is .


In , Let ,

Area of shaded region Area of sector Area of

Question 9:

The radii of two circles are and respectively. Find the radius of the circle having its area equal to the sum of the areas of the two circles.


Area of the first circle

Total area

Let R be the radius of the circle with area

Hence, required radius

Question 10:

A chord of a circle of radius subtends a right angle at the centre. Find the area of the corresponding: (Use

(i) Minor sector

(ii) Major sector

(iii) Minor segment

A Chord of a Circle of Radius

(iv) Major segment


(i) Minor sector

Area of minor sector

(ii) Major sector

Area of major sector Area of circle – Area of minor sector

(iii) Minor segment

We know that area of minor segment

Area of minor sector Area of

(iv) Area of major segment = Area of the circle – Area of minor segment