SSC CGL Exam  >  SSC CGL Questions  >   In the given figure find the ratio of sum of... Start Learning for Free
In the given figure find the ratio of sum of inradius and circumradius for smaller triangle and bigger triangle, if the side of smaller equilateral triangle is 25% of the side of bigger equilateral triangle ?
  • a)
    2 : 3
  • b)
    1 : 4
  • c)
    4 : 7
  • d)
    8 : 3
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
In the given figure find the ratio of sum of inradius and circumradiu...
Given:
Side of smaller equilateral triangle = 25% side of bigger equilateral triangle
Formula used:
1) Circumradius = abc/4Δ
2) Inradius = Δ/s
Where, s = (a + b + c)/2
And Δ = Area of triangle
3) Area of equilateral triangle = √3/4 × a2
Calculation:
According to question,
Side of smaller equilateral triangle = 25% side of bigger equilateral triangle
Side of smaller equilateral triangle/Side of bigger equilateral triangle = 1/4
Sum of circumradius and inradius for smaller triangle,
⇒ 1 × 1 × 1/4 × √3/4 × (1)2 + √3/4 × (1)2/(1 + 1 + 1)/2
⇒ 1/√3 + 1/2√3
⇒ 1/√3 × (1 + 1/2)
⇒ 3/2√3
Similarly,
Sum of circumradius and inradius for bigger triangle,
⇒ 4 × 4 × 4/ 4 × √3/4 × (4)2 + √3/4 × (4)2/ (4 + 4 + 4)/2
⇒ 4/√3 + 2√3/3
⇒ 4/√3 + 2/√3
⇒ 6/√3
Ratio = 3/2√3 : 6√3
⇒ 3/2 : 6
⇒ 3 : 12
⇒ 1 : 4
∴ The correct answer is 1 : 4.
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

In the given figure find the ratio of sum of inradius and circumradius for smaller triangle and bigger triangle, if the side of smaller equilateral triangle is 25% of the side of bigger equilateral triangle ?a)2 : 3b)1 : 4c)4 : 7d)8 : 3Correct answer is option 'B'. Can you explain this answer?
Question Description
In the given figure find the ratio of sum of inradius and circumradius for smaller triangle and bigger triangle, if the side of smaller equilateral triangle is 25% of the side of bigger equilateral triangle ?a)2 : 3b)1 : 4c)4 : 7d)8 : 3Correct answer is option 'B'. Can you explain this answer? for SSC CGL 2024 is part of SSC CGL preparation. The Question and answers have been prepared according to the SSC CGL exam syllabus. Information about In the given figure find the ratio of sum of inradius and circumradius for smaller triangle and bigger triangle, if the side of smaller equilateral triangle is 25% of the side of bigger equilateral triangle ?a)2 : 3b)1 : 4c)4 : 7d)8 : 3Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for SSC CGL 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In the given figure find the ratio of sum of inradius and circumradius for smaller triangle and bigger triangle, if the side of smaller equilateral triangle is 25% of the side of bigger equilateral triangle ?a)2 : 3b)1 : 4c)4 : 7d)8 : 3Correct answer is option 'B'. Can you explain this answer?.
Solutions for In the given figure find the ratio of sum of inradius and circumradius for smaller triangle and bigger triangle, if the side of smaller equilateral triangle is 25% of the side of bigger equilateral triangle ?a)2 : 3b)1 : 4c)4 : 7d)8 : 3Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for SSC CGL. Download more important topics, notes, lectures and mock test series for SSC CGL Exam by signing up for free.
Here you can find the meaning of In the given figure find the ratio of sum of inradius and circumradius for smaller triangle and bigger triangle, if the side of smaller equilateral triangle is 25% of the side of bigger equilateral triangle ?a)2 : 3b)1 : 4c)4 : 7d)8 : 3Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In the given figure find the ratio of sum of inradius and circumradius for smaller triangle and bigger triangle, if the side of smaller equilateral triangle is 25% of the side of bigger equilateral triangle ?a)2 : 3b)1 : 4c)4 : 7d)8 : 3Correct answer is option 'B'. Can you explain this answer?, a detailed solution for In the given figure find the ratio of sum of inradius and circumradius for smaller triangle and bigger triangle, if the side of smaller equilateral triangle is 25% of the side of bigger equilateral triangle ?a)2 : 3b)1 : 4c)4 : 7d)8 : 3Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of In the given figure find the ratio of sum of inradius and circumradius for smaller triangle and bigger triangle, if the side of smaller equilateral triangle is 25% of the side of bigger equilateral triangle ?a)2 : 3b)1 : 4c)4 : 7d)8 : 3Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In the given figure find the ratio of sum of inradius and circumradius for smaller triangle and bigger triangle, if the side of smaller equilateral triangle is 25% of the side of bigger equilateral triangle ?a)2 : 3b)1 : 4c)4 : 7d)8 : 3Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice SSC CGL tests.
Explore Courses for SSC CGL exam

Top Courses for SSC CGL

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev