Which of the following has largest area ?
2013
Which of the following has largest area ?
- A.
A circle of radius square root of 2 cm. square root of 2
- B.
A square with side 2 cm. 2
- C.
An equilateral triangle of sides 2 cm. 2
- D.
A triangle of sides 3, 4 and 5 cm. 3, 4
Attempted by 12 students.
Show answer & explanation
Correct answer: A
To find the shape with the largest area, we calculate the area for each option. The circle has a radius of root 2 cm, so its area is pi times (root 2) squared = 2 * pi ≈ 6.28 cm².
The square has an area of 4 cm². The equilateral triangle has an area of approximately 1.73 cm². The right-angled triangle with sides 3, 4, and 5 has an area of (1/2) * 3 * 4 = 6 cm².
Comparing these values, 6.28 is greater than 6, 4, and 1.73. Therefore, the circle has the largest area.