Question
Download Solution PDFA circle is circumscribing a triangle whose sides are 30 cm, 40 cm and 50 cm. Find the circumference of the circle.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
A circle is circumscribing a triangle whose sides are 30 cm, 40 cm and 50 cm
Concept Used:
Circumference of circle = 2πr
Calculation:
The triangle described is a right triangle (since \(30^2 + 40^2 = 50^2\)), also known as a Pythagorean triplet.
In a right triangle, the circumradius (radius of the circle circumscribing the triangle) is half the length of the hypotenuse.
Since the hypotenuse is 50 cm, the circumradius is 50/2 = 25 cm.
The circumference of the circumscribing circle is 2 × π × 25 cm = 50π cm.
∴ Option 4 is the correct answer.
Last updated on May 28, 2025
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