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Find the circumference (in m) of the largest circle that can be drawn completely inside a rectangle with sides 249 m and 217 m. [Take π = 22/7]
Question

Find the circumference (in m) of the largest circle that can be drawn completely inside a rectangle with sides 249 m and 217 m. [Take π = 22/7]

A.

682

B.

690

C.

679

D.

676

Correct option is A

Given:

Rectangle sides = 249 m and 217 m

Largest circle inside rectangle → diameter = smaller side = 217 m

Find circumference.

Concept Used:

Largest inscribed circle has diameter equal to the smaller side.

Circumference of a circle = π×d=2πr\pi \times d = 2 \pi r​​

Solution:

Diameter of circle:

d = 217  m

Circumference (C)  = 227×217\frac{22}{7} \times 217​​

= 22 × 31 = 682 m

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