Question : The length of a side of an equilateral triangle is 8 cm. The area of the region lying between the circumcircle and the incircle of the triangle is __________ ( Use:
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution :
Given:
Side of the equilateral triangle,
Radius of incircle =
Radius of circumcircle =
So, the required area
= Area of circumcircle – Area of incircle
=
=
=
=
=
=
Hence, the required area is
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