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circle to an endpoint on the circle.
- Circumference (C) refers to the enclosed boundary of the circle. It is also known as the perimeter of the circle.
- The area of a circle is the total space present inside the boundary of a circle. It is calculated using the formula $π r^{2}$ , where ' $r$ ' is the radius.
We can derive the diameter formula from the circumference, area, and radius of the circle.
Formula for Diameter
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THEMATH EXFERT
Diameter $= 2 \times$ Radius
Diameter $= \frac{Circumference}{π}$
Diameter $= \sqrt[2]{\frac{Area}{π}}$
Circumference
Diameter of a Circle Using Circumference
We can easily derive the diameter formula from the circumference. The formula for the circumference of a circle is $C = π d$ ; here, $C =$
Circumference, $d =$ Diameter of a circle, $π = 22 / 7$ or 3.142 approx. The diameter formula using circumference is,
Diameter $=$ Circumference $\div π$
Diameter of a Circle Using Radius
Radius is the length of the line segment from the center of the circle to an

Answer

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Answer

\boxed{Final Answer: Diameter \approx 10}

Steps

Step 1 ：Given values: Radius = 5, Circumference = 31.42, Area = 78.54

Step 2 ：Using the formula Diameter = 2 * Radius: $D i a m e t e r = 2 \times 5 = 10$

Step 3 ：Using the formula Diameter = Circumference / π: $D i a m e t e r = \frac{31.42}{π} \approx 10.00$

Step 4 ：Using the formula Diameter = √(Area / π): $D i a m e t e r = \sqrt{\frac{78.54}{π}} \approx 10.00$

Step 5 ：\boxed{Final Answer: Diameter \approx 10}