Question : If the side of an equilateral triangle is 16 cm, then what is its area?

Option 1: $81 \sqrt{3} \mathrm{~cm}^2$

Option 2: $48 \sqrt{3} \mathrm{~cm}^2$

Option 3: $32 \sqrt{3} \mathrm{~cm}^2$

Option 4: $64 \sqrt{3} \mathrm{~cm}^2$

Question : ABC is an equilateral triangle. If the area of the triangle is $36 \sqrt{3}$, then what is the radius of the circle circumscribing the $\triangle ABC$?

Option 1: $2 \sqrt{3}$

Option 2: $3 \sqrt{3}$

Option 3: $4 \sqrt{3}$

Option 4: $6 \sqrt{3}$

Question : If the side of an equilateral triangle is 8 cm, then find the area of the triangle (correct to two decimal places).

Option 1: 27.17 cm²

Option 2: 27.27 cm²

Option 3: 27.71 cm²

Option 4: 27.72 cm²

Question : The side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?

Option 1: $2\sqrt{3}$ cm

Option 2: $5\sqrt{3}$ cm

Option 3: $4\sqrt{3}$ cm

Option 4: $3\sqrt{3}$ cm

Question : If the radius of a circle is increased by 5%, then the increase in its area is:

Option 1: 10.25%

Option 2: 10%

Option 3: 5.75%

Option 4: 5%