Answer :
Circumference of a circle is 97inches
[tex]circumference=2\times\pi\times\text{ r}[/tex][tex]\begin{gathered} 97\text{ = 2 }\times\frac{22}{7\text{ }}\times r \\ 97\text{ }\times\text{ 7 = 44 }\times r \\ \frac{679}{44}=\text{ r} \\ r\text{ = 15.}4318 \\ \text{Diameter = r x 2 = radius x 2 =15.4318 x 2 =30.8636 inches} \end{gathered}[/tex]Final answer:
The diameter of a circle with a circumference of 97 inches is approximately 30.86 inches. This is derived using the formula for the circumference of a circle, C = πD, and solving for D.
Explanation:
The subject of this question is Mathematics, specifically geometry, as it involves understanding the properties of a circle, specifically the relationship between a circle's circumference and its diameter. In any circle, the ratio of the circumference to the diameter is a constant value, pi (∏), which is approximately 3.14159.
The given circumference is 97 inches. The formula for the circumference of a circle is C = ∏D where D is the diameter. Solving for D, we get D = C/∏. Substituting the known values, we get D = 97/3.14159 which is approximately 30.86 inches. Therefore, the circle's diameter is approximately 30.86 inches.
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