TANCET '08 Quant - Area of circle, equilateral & right triangles

Mensuration Question 15

Which of the following figures has the largest area?

1. A circle of radius
2. An equilateral triangle whose sides each have length 4
3. A triangle whose sides have lengths 3, 4 and 5

1. I
2. II
3. III
4. I and III
5. II and III
   
   

Correct Answer : II. Choice (2)

Explanatory Answer

1. Area of circle of radius
2. Area of an equilateral triangle whose sides each have length
3. Area of a triangle whose sides measure 3, 4 and 5. The given triangle is a right triangle.
   Hence, its area = = 6 sq units

We need to compare these three numbers.

Area of the circle, = 6.28 sq units

Area of the equilateral triangle, = 6.92
Area of the right triangle = 6 sq units.

The area of the equilateral triangle is the largest amongst the 3 objects given in this question.

Level of difficulty : Easy to Moderate

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