You can use the cosine rule to calculate the central angle.
For a circle: Arc Length= R*((2*P*A)/(360)) R being radius, P being pi (3.14159), and A being the measure of the central angle.
To find the measure of a central angle in a circle using the radius, you can use the formula for arc length or the relationship between the radius and the angle in radians. The formula for arc length ( s ) is given by ( s = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. Rearranging this formula, you can find the angle by using ( \theta = \frac{s}{r} ) if you know the arc length. In degrees, you can convert radians by multiplying by ( \frac{180}{\pi} ).
divide diameter by 2
where:C is the central angle of the arc in degreesR is the radius of the arcπ is Pi, approximately 3.142
The arc length of a circle is directly proportional to its radius. Specifically, the formula for arc length (L) is given by (L = r \theta), where (r) is the radius and (\theta) is the central angle in radians. This means that as the radius increases, the arc length also increases for a given angle. Conversely, for a fixed radius, a larger angle will result in a longer arc length.
The formula for calculating the length of a chord in a circle is (2rsin(frac2)), where r is the radius of the circle and is the central angle subtended by the chord.
For a circle: Arc Length= R*((2*P*A)/(360)) R being radius, P being pi (3.14159), and A being the measure of the central angle.
To find the measure of a central angle in a circle using the radius, you can use the formula for arc length or the relationship between the radius and the angle in radians. The formula for arc length ( s ) is given by ( s = r \theta ), where ( r ) is the radius and ( \theta ) is the central angle in radians. Rearranging this formula, you can find the angle by using ( \theta = \frac{s}{r} ) if you know the arc length. In degrees, you can convert radians by multiplying by ( \frac{180}{\pi} ).
The formula for calculating the area of a circle in terms of the radius is A r2, where A represents the area and r is the radius of the circle, expressed in square units.
The formula for calculating the circumference of a circle is 2πr, where r is the radius of the circle and π is 3.1415926535890793 - usually shorted to either 3.1416 or 3.14 So that the circumference of a circle with a radius of 10 units is 62.83 units There are pi radians in a half of a circle. Thus, the measure of a central angle which is a straight line is pi radians. We have a formula that show that the length of an intercepted arc is equal to the product of the angle in radians that intercepts that arc, with the length of the radius of the circle. So we can say that the length of a semicircle is (pi)(r). In a full circle are 2pi radians. So the length of intercepted arc from a central angle with measure 2pi is 2(pi)(r).
The formula for calculating the area of a circle is A r2, where A represents the area and r represents the radius of the circle.
The formula for calculating the inertia of a hoop is I MR2, where I is the inertia, M is the mass of the hoop, and R is the radius of the hoop.
divide diameter by 2
where:C is the central angle of the arc in degreesR is the radius of the arcπ is Pi, approximately 3.142
The formula for calculating the polar moment of inertia of a cylinder is I (/2) r4, where r is the radius of the cylinder.
Formula for calculating the area of sphere is : 4 * pi * r * r
Volume = Area * Length The volume of a right circular cylinder is πr2h where r is the radius of the base and h is its height (altitude)