CBSE Class 10-Mathematics: Chapter –12 Areas Related to Circles Part 18
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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 .
Answer:
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.
Answer:
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
Answer:
(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