CLEAR
Toprankers-Info

+91 7676564400

Mobile App

Get it on Google Play
Discussions
Select Date
Tags:

Articles

Discussions
Submit Discussion
preeti sharma

· started a discussion

· 1 Months ago

Easy way (Question: 111666.0 )

let side of equilateral triangle be a;
we know circumradius of equilateral triangle is= a/root 3 ;
so double of this circumcircle will be diameter of circle
so ratio will be= a: (2a/root 3)

Question:

If an equilateral triangle is inscribed in a circle then the ratio of the side of the triangle and the diameter of the circle is:

Options:
A) \(\sqrt[]{2}:2\)
B) \(\sqrt[]{3}:2\)
C) \(1:\sqrt[]{3}\)
D) 2 : 3
Solution:
Ans: (b)

Radius of the circle circumscribing an equilateral triangle of side ‘a’ is given by

r=\(\cfrac{a}{2\ sin\ 60^o}\)

or \(\cfrac{a}{2r}=sin\ 60^o=\cfrac{\sqrt{3}}{2}\)

Hence, ratio of side and diameter  = \(\cfrac{\sqrt{3}}{2}:1=\sqrt{3}:2\)

Knowledge Expert

· commented

· 1 Months ago

Good.
Keep learning,
Team TR
-logo
We at aim to provide most comprehensive content & test for practice which is carefully divided into various chapters and topics to help you focus on your weak areas.Our Practice mock test gives you unmatched analytics to help you realize your strong areas,time management and improvement areas.Our Short & Crisp notes on each topic will help you to quickly revise the topic along with the tips & tricks of the exams.
More About
-Info
-Info

Mobile App

Get it on Google Play
About Us Campus Ambassador Careers Contact Us Refund Policy

All Rights Reserved Top Rankers

User Policy
Disclaimer
Terms & Conditions