Question : The ratio of the area of an equilateral triangle and that of its circumcircle is:
Option 1: $2\sqrt3:2\pi$
Option 2: $4:\pi$
Option 3: $3\sqrt3:4\pi$
Option 4: $7\sqrt2:2\pi$
New: SSC MTS Tier 1 Answer key 2024 out
Don't Miss: Month-wise Current Affairs | Upcoming Government Exams
New: Unlock 10% OFF on PTE Academic. Use Code: 'C360SPL10'
Correct Answer: $3\sqrt3:4\pi$
Solution : Let the side of the equilateral triangle be $a$ units and the radius of its circumcircle be $r$ units. Now, the area of the equilateral triangle = $\frac{\sqrt3}{4}a^2$ sq.units The radius of the circumcircle = $r=\frac{a}{\sqrt3}$ units So, the area of the circumcircle = $\pi×(\frac{a}{\sqrt3})^2=\frac{\pi a^2}{3}$ units $\therefore$ The required ratio = $\frac{\sqrt3}{4}a^2:\frac{\pi a^2}{3}=3\sqrt3:4\pi$ Hence, the correct answer is $3\sqrt3:4\pi$.
Answer Key | Cutoff | Selection Process | Preparation Tips | Eligibility | Application | Exam Pattern
Question : A circle is inscribed in an equilateral triangle and a square is inscribed in that circle. The ratio of the areas of the triangle and the square are:
Question : The ratio of the area of a regular hexagon and an equilateral triangle having the same perimeter is:
Question : Nine times the area of a circle is the same as the three times the area of a square. What is the ratio of the diameter of the circle and the diagonal of the square?
Question : The perimeter of an equilateral triangle is 40 cm more than the length of each of its sides. What is the length of each side of this equilateral triangle?
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile