Arrange the following shapes in increasing order of their areas: A. A circle…
2025
Arrange the following shapes in increasing order of their areas:
A. A circle of diameter 10 cm
B. A rectangle of dimensions [6 cm × 4 cm]
C. A square of side 5 cm
D. An equilateral triangle of side 5 cm
- A.
D, C, A, B
- B.
B, C, D, A
- C.
B, D, C, A
- D.
D, B, C, A
Attempted by 2 students.
Show answer & explanation
Correct answer: D
To arrange the shapes in increasing order of area, calculate the area for each shape.
1. Circle (A): Diameter = 10 cm, so radius r = 5 cm. Area = πr² ≈ 3.14 × 25 ≈ 78.5 cm².
2. Rectangle (B): Dimensions 6 cm × 4 cm. Area = 6 × 4 = 24 cm².
3. Square (C): Side = 5 cm. Area = 5² = 25 cm².
4. Equilateral Triangle (D): Side = 5 cm. Area = (√3/4) × side² ≈ 0.433 × 25 ≈ 10.8 cm².
Comparing the areas: 10.8 cm² (D) < 24 cm² (B) < 25 cm² (C) < 78.5 cm² (A).
The increasing order is D, B, C, A.