Match List-I with List-II

Choose the correct answer from the options given below:

(A)-(III), (B)-(IV), (C)-(I), (D)-(II)

The correct answer is Option (3) → (A)-(III), (B)-(IV), (C)-(I), (D)-(II)

(A) Trapezium: The area of a trapezium is calculated as half the product of the height and the sum of its parallel sides ($a$ and $b$).

• Formula: $\frac{1}{2}h(a+b)$
• Match: (A) – (III)

(B) Sector of a circle: The length of the arc of a sector with radius $r$ and angle $\theta$ is a fraction of the total circumference ($2\pi r$).

• Formula: $(\frac{\theta}{360^\circ}) \times 2\pi r$
• Match: (B) – (IV)

(C) Cuboid: The diagonal of a cuboid represents the longest distance between two opposite corners, calculated using the dimensions of length ($l$), breadth ($b$), and height ($h$).

• Formula: $\sqrt{l^2 + b^2 + h^2}$
• Match: (C) – (I)

(D) Frustum of cone: The slant height ($l$) of a frustum (a cone with the top cut off) is determined by its vertical height ($h$) and the difference between the radii of the top ($r$) and bottom ($R$) circles.

• Formula: $\sqrt{h^2 + (R-r)^2}$
• Match: (D) – (II)