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Each side of an equilateral triangle is equal to the radius of a circle whose area is $154 cm 2$ . The area of the triangle is:

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734 cm 2

4932 cm 2

4934 cm 2

732 cm 2

answer is C.

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Detailed Solution

Given that each side of an equilateral triangle is equal to the radius of a circle whose area is

154 cm 2

.
Area of circle formula is,

A = π r 2

Substituting given area in above formula to get radius.

⇒ r = 154 × 7 22

⇒ r = 7 c m

Area of equilateral triangle with side length a is,

A = a 2 3 4

As the radius of circle is equal to side of the triangle, then area of triangle is,

⇒ A = 7234

⇒ A = 4934 c m 2

Therefore, the area of the triangle is

4934 c m 2

.
Hence, option 3 is correct.

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