Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?

Options:

$2\sqrt{3}$ cm

$5\sqrt{3}$ cm

$4\sqrt{3}$ cm

$3\sqrt{3}$ cm

Correct Answer:

$3\sqrt{3}$ cm

Explanation:

Formula to be used

Circumradius = \(\frac{a \;×\; b \;×\; c}{4 \;×\; area}\)

Calculations

Circumradius = \(\frac{9 \;×\; 9 \;×\; 9}{4 \;×\; √3/4 \;×\; 9 \;×\; 9 }\)

⇒ \(\frac{9}{√3}\) = 3√3 cm

Therefore, the correct answer is 3√3 cm.