In an equilateral triangle inradius is 4

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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.