Provide one known value to calculate the remaining values of a circle.
Absolutely uttering, our calculator is quite smooth to apply in case you persist with the following usage manual!
Input:
Output:
You all can be acquainted with a circle, a well-known and widely used geometrical parent.
“The space from the center of a circle to any of its points at the circumference is referred to as the radius”
In geometry, a circle is described by means of many related entities. And if you are willing to discover its radius given exclusive parameters, then these include:
From Diameter:
As we know that:
\(Diameter=D=2*r\)
or
\(r=\dfrac{D}{2}\)
From Area:
You know that:
\(Area=A=?r^{2}\)
or
\(r^{2}=\dfrac{A}{?}\)
From Circumference:
As you know that:
\(C=2*?*r\)
or
\(r=\dfrac{C}{2?}\)
From area and critical attitude of a area:
You know that:
\(A=\dfrac{\theta}{360^\text{o}}*?*r^{2}\)
or
\(r=sqrt{\dfrac{A*360^\text{o}}{\theta*?}}\)
Let us resolve an example that could help you in locating the radius of a circle:
Statement:
What’s the radius of a circle having area as \(113m^{2}\)?
Solution:
\(r^{2}=\dfrac{A}{\pi}\)
\(r^{2}=\dfrac{113}{3.14}\)
\(r^{2}=35.986\)
\(r=\sqrt{35.986}\)
\(r=5.999\)
| Property | Example | Formula |
|---|---|---|
| Definition of Radius | Distance from center to any point on the circle | \( r = \frac{d}{2} \) |
| Radius from Diameter | If diameter \( d = 10 \) | \( r = \frac{10}{2} = 5 \) |
| Radius from Circumference | If circumference \( C = 31.4 \) | \( r = \frac{C}{2\pi} = \frac{31.4}{6.28} = 5 \) |
| Radius from Area | If area \( A = 78.5 \) | \( r = \sqrt{\frac{A}{\pi}} = \sqrt{\frac{78.5}{3.14}} = 5 \) |
| Radius in Equation of a Circle | \( (x - h)^2 + (y - k)^2 = r^2 \) | \( r = \sqrt{(x - h)^2 + (y - k)^2} \) |
| Radius from Center and a Point | Center (3,4) and point (6,8) | \( r = \sqrt{(6-3)^2 + (8-4)^2} = \sqrt{9+16} = 5 \) |
| Radius in Real Life | Wheel of a car with diameter 40 cm | \( r = 20 \) cm |
| Radius from Sector Formula | If arc length \( s = 15 \) and angle \( \theta = 60^\circ \) | \( r = \frac{s}{\theta \times \frac{\pi}{180}} \) |
| Radius in Cartesian Plane | Find radius of circle centered at (0,0) and passing through (4,3) | \( r = \sqrt{4^2 + 3^2} = 5 \) |
| Radius in 3D Space | Circle in 3D centered at (1,2,3) and passing through (4,6,8) | \( r = \sqrt{(4-1)^2 + (6-2)^2 + (8-3)^2} \) |
The measurement Gizmo gauges the perimeter of a circular figure with known dimensions such as the edge length, the curve distance, or the interior area measurement. 'It accelerates math assignments and is infallible, thus favourable for pupils, architects, and those who calculate radii.
The calculator uses different mathematical formulas depending on the given input. If you provide the diameter, it simply divides it by two.
Type the circle’s border length and the device will do the math and tell you the circle’s middle point. “This simplifies conditions where only the circle’s circumference is accessible.
The Circle's Span Calculator proves useful in various practical instances, including Mechanical Engineering, Building, Kinematics, and Aesthetics & Creation Design. It helps in gauging round items, architecting frameworks, and understanding circular movement in physics.
Yes, the calculator can handle both decimal values and large numbers. Whether you’re working with tiny or huge circles, it guarantees right outcomes without counting by hand.
This tool for circles also helps spheres, using relevant equations to find the radius from a spher's surface or volume. Some advanced calculators may offer a dedicated option for spherical calculations.
A radius gauges the range from the center to the limit of the circumference and is always a positive figure since distances cannot be negative.
In this solution, “region” has been replaced with “zone”, “contraption” with “apparatus”, “equation” with “formula”, “diameter”A Circumference Gauge determines the full extent from the edge to the center, while a Radius Estimator measures the distance from the center to any external point. The rotation of the circle is perpetually half the extent of the diameters, and it is designed to furnish that precise measurement.
This calculator is an excellent learning aid for students studying geometry. This helps their understanding of round figures, strengthens algebraic expressions, and simplifies solving problems quickly.
