In an equilateral triangle inradius is 4

CUET Preparation Today

Start Free Mocks

Home Questions AHBV6REEHA

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In an equilateral triangle inradius is 4 cm. what is the circumradius ?

Options:

6 cm

8 cm

12 cm

2 cm

Correct Answer:

8 cm

Explanation:

Formula used

Inradius of equilateral triangle = \(\frac{a}{2√3}\)

Circumradius = \(\frac{a}{√3}\)

Calculation

Inradius = \(\frac{a}{2√3}\) = 4

= a = 8√3

Circumradius = \(\frac{a}{√3}\) = \(\frac{8√3}{√3}\)

= 8.

Therefore, answer is 8.