How To Find Radius And Diameter Using Circumference

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Units

Significant Figures

Answer:

circumference

C = 75.3982237 in

In Terms of Pi π

circumference

C = 24 π in

Solutions

\[ \textbf{bore} \, d = 2r \]\[d = ii \times 12 \]\[d = 24 \]

\[ \textbf{circumference} \, C = ii \pi r \]\[C = 2 \times \pi \times 12 \]\[C = 24 \pi \]\[C = 75.3982237 \]

\[ \textbf{area} \, A = \pi r^2 \]\[A = \pi \times 12^ii \]\[A = 144 \pi \]\[A = 452.389342 \]

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Circle Shape

Circle Geometric Shape with Radius
r = radius
d = diameter
C = circumference
A = area
π = pi = 3.1415926535898
√ = square root

Estimator Apply

Use this circle computer to find the area, circumference, radius or diameter of a circle. Given whatsoever one variable A, C, r or d of a circumvolve yous tin can calculate the other three unknowns.

Units: Note that units of length are shown for convenience. They do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft² or ft³. Any other base unit can exist substituted.

Circle Formulas in terms of Pi π, radius r, and diameter d

Radius and Diameter:

r = d/two
d = 2r

Area of a circle:

A = πrⁱⁱ = πdⁱⁱ/iv

Circumference of a circumvolve:

C = 2πr = πd

Circumvolve Calculations:

Using the formulas above and additional formulas you tin can calculate properties of a given circumvolve for any given variable.

Calculate A, C and d | Given r
Given the radius of a circle calculate the area, circumference and diameter. Putting A, C and d in terms of r the equations are:

\[A = \pi r^ii \]

\[C = 2 \pi r \]

\[d = 2r \]

Summate r, C and d | Given A
Given the area of a circumvolve summate the radius, circumference and diameter. Putting r, C and d in terms of A the equations are:

\[r = \sqrt{\frac{A}{\pi}} \]

\[C = 2 \pi r = 2 \pi \sqrt{\frac{A}{\pi}} \]

\[ d = 2r = two \sqrt{\frac{A}{\pi}} \]

Calculate A, r and d | Given C
Given the circumference of a circle calculate the radius, area and diameter. Putting A, r and d in terms of C the equations are:

\[r = \frac{C}{two \pi} \]

\[A = \pi r^two = \pi \left(\frac{C}{ii \pi}\right)^2 = \frac{\pi C^2}{4 \pi^2} = \frac{C^ii}{4 \pi} \]

\[d = 2r = \frac{2C}{ii \pi} = \frac{C}{\pi} \]

Calculate A, C and r | Given d
Given the diameter of a circumvolve summate the radius, expanse and circumference. Putting A, C and r in terms of d the equations are:

\[r = \frac{d}{2} \]

\[A = \pi r^2 = \pi \left(\frac{d}{2}\right)^ii = \frac{\pi d^ii}{4} \]

\[C = two \pi r = two \pi \frac{d}{2} = \pi d \]

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