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Circumference of circle T is 4 times the circumference of circle S

User Mosey
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2 Answers

5 votes

Answer:

Circumference of S = T/4

I didn't quite catch your question though, could you elaborate a bit more?

User Sdgd
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7 votes

Final Answer:

The radius of circle T is twice the radius of circle S. The circumference of circle T is four times the circumference of circle S. Mathematically, if
\(r_T\) is the radius of circle T and
\(r_S\) is the radius of circle S, then
\(r_T = 2r_S\) and
\(C_T = 4C_S\).

Explanation:

In this scenario, the relationship between the two circles, T and S, is established based on their circumferences and radii. The formula for the circumference of a circle,
\(C = 2πr\), where
\(C\) is the circumference and
\(r\) is the radius, is utilized.

The given information asserts that the circumference of circle T
(\(C_T\)) is four times that of circle S
(\(C_S\)), expressed as
\(C_T = 4C_S\). By substituting the circumference formula,
\(2πr\), into this relationship, the radius of circle T
(\(r_T\)) is found to be twice the radius of circle S
(\(r_S\)), denoted as
\(r_T = 2r_S\).

In essence, the radii of the circles follow a simple proportion, where the radius of T is double that of S. This relationship is fundamental to understanding the scaling between the two circles. Consequently, the circumferences are also related by a factor of four, emphasizing the direct proportionality between the radii and circumferences of circles T and S in this mathematical context.

User Noquery
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