A 3 by 4 rectangle is inscribed in a circle. What is the circumference of the circle?

l oo k a t t h e p i c t u re ( 2 r ) 2 = 3 2 + 4 2 4 r 2 = 9 + 16 4 r 2 = 25 / : 4 r 2 = 4 25 ​ r = 4 25 ​ ​ r = 4 ​ 25 ​ ​ r = 2 5 ​ c i rc u m f ere n ce o f t h e c i rc l e : L = 2 π r ; L = 2 π ⋅ 2 5 ​ = 5 π

Answered by Anonymous | 2024-06-10

The circumference of the circle inscribed in a 3 by 4 rectangle is 5π units. ;

Answered by AliciaAugello | 2024-06-18

The circumference of the circle inscribed around a 3 by 4 rectangle is calculated to be 5 π units. The process involves finding the diagonal of the rectangle, which serves as the diameter of the circle, and then applying the circumference formula. The radius is half of the diameter, leading to the final result of the circumference.
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Answered by Anonymous | 2024-10-02