Question : The length of each side of an equilateral triangle is $14 \sqrt{3}$ cm. The area of the incircle (in cm²), is:

Option 1: 450

Option 2: 308

Option 3: 154

Option 4: 77

Question : The area of an equilateral triangle is $4 \sqrt{3} \mathrm{~cm}^2$. Find the side (in cm) of the triangle.

Option 1: $2$

Option 2: $4$

Option 3: $\sqrt{3}$

Option 4: $2 \sqrt{3}$

Question : The area of the base of a cone is 616 cm². If its slant height is 20 cm, then what is the total surface area of the cone? [Use $\pi$ = $\frac{22}{7}$]

Option 1: 1352 cm²

Option 2: 1296 cm²

Option 3: 1496 cm²

Option 4: 1524 cm²

Question : The total surface area of a right circular cylinder is 1848 cm². The ratio of its total surface area to the curved surface area is 3 : 1. The volume of the cylinder is: (Take $\pi=\frac{22}{7}$)

Option 1: 4312 cm³ 

Option 2: 3696 cm³ 

Option 3: 4002 cm³ 

Option 4: 4851 cm³ 

Question : The radius of the incircle of a triangle is 2 cm. If the area of the triangle is 6 cm², then its perimeter is:

Option 1: 2 cm

Option 2: 3 cm

Option 3: 6 cm

Option 4: 9 cm