Question
Download Solution PDFThe side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Side of the equilateral triangle = 9 cm
Concept used:
Circumradius (R) = (a × b × c)/4 × area
Calculation:
Circumradius (R) = (a × b × c)/4 × area of equilateral triangle
⇒ (9 × 9 × 9)/{4 × (√3/4) × 9 × 9}
⇒ 9/√3 = 3√3 cm
∴ The correct answer is 3√3 cm.
Alternate MethodConcept used:
Circumradius of equilateral triangle = side/√3
Calculation:
Circumradius (R) = side/√3
⇒ 9/√3 = 3√3 cm
∴ The correct answer is 3√3 cm.
Last updated on Jul 7, 2025
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