Areas related to Circles ncert solutions Chapter 12 Exercise 12.3 Question 10
10. The area of an equilateral triangle ABC is 17320.5
. With each vertex of the triangle as center, a circle is drawn with radius equal to half the length of the side of the triangle. Find the area of the shaded region (blue). (Use
and
)
Solution:
Area of region shaded in blue= Area of equilateral
-Area of region shaded in orange (1)
Area of equilateral
=17320.5
{Given} (2)
cm
Radius of circle=r=200/2=100 cm
Area shaded in orange = Area of three sectors of circle
(3)
Putting (2) and (3) in (1), we get
Area of region shaded in blue=17320.5-15700=1620.5
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