Problem
Why Choose Us Maths Resources About Us Already booke Learn $\checkmark$ Practice Download 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 $\pi r^{2}$, where ' $r$ ' is the radius. We can derive the diameter formula from the circumference, area, and radius of the circle. Formula for Diameter cuemath THEMATH EXFERT Diameter $=2 \times$ Radius Diameter $=\frac{\text { Circumference }}{\pi}$ Diameter $=\sqrt[2]{\frac{\text { Area }}{\pi}}$ 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 $C=\pi d$; here, $C=$ Circumference, $d=$ Diameter of a circle, $\pi=22 / 7$ or 3.142 approx. The diameter formula using circumference is, Diameter $=$ Circumference $\div \pi$ Diameter of a Circle Using Radius Radius is the length of the line segment from the center of the circle to an
Solution
Step 1 ：Given values: Radius = 5, Circumference = 31.42, Area = 78.54
Step 2 ：Using the formula Diameter = 2 * Radius: \(Diameter = 2 \times 5 = 10\)
Step 3 ：Using the formula Diameter = Circumference / π: \(Diameter = \frac{31.42}{\pi} \approx 10.00\)
Step 4 ：Using the formula Diameter = √(Area / π): \(Diameter = \sqrt{\frac{78.54}{\pi}} \approx 10.00\)
Step 5 ：\boxed{Final Answer: Diameter \approx 10}
