Subject
Quantitative Aptitude
Topic
Areas & Volumes
A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
A 3 by 4 rectangle is inscribed in circle. What is the circumference of the circle?
ক)
2.5πখ)
3πগ)
5πঘ)
4πExplanation
1. Identify the relationship between the rectangle and the circle: Since the rectangle is inscribed in the circle, the diagonal of the rectangle will be the diameter of the circle. 2. Find the length of the diagonal: We know the sides of the rectangle are 3 and 4 units long. The diagonal can be found using the Pythagorean theorem: Diagonal 2 = 3 2 + 4 2 Diagonal 2 = 9 + 16 Diagonal 2 = 25 Diagonal = 5 (as length cannot be negative) 3. Calculate the circle's circumference: Knowing the diameter, we can find the circumference using the formula: Circumference = π * diameter Circumference = π * 5 Therefore, the circumference of the circle is 5π.Related questions
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