The length of a side of an equilateral triangle is 8 cm. The area of the region lying between the circum-circle and the incircle of the triangle is (use : π = 22/7):
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 50 (2/7) cm2
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Understanding |
Application |
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The length of a side of an equilateral triangle is 8 cm. |
So, Radius of circum – circle = r/√3 = 8/√3 cm And Radius of incircle = r/2√3 = 4/√3 cm |
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We know: Area of circle = πr2 |
So, Area of the region lying between the circum circle and the incircle = π × [(8/√3)2 – (4/√3)2] = 22/7 × 16 = 352/7 = 50 (2/7) cm2 |