360 / 78.2 = 4.60 - Gives the number of "slices of pie" of this size in the entire circle
4.60 * 12 = 55.245 - Gives circumference of the circle
radius = circumference / 2pi
radius = 55.245 / 6.283 = 8.79
you will need to know the angle subtended by the arc; arc length = radius x angle in radians
You also need the measure of the central angle because arc length/2pi*r=measure of central angle/360.
To find the arc length given the radius and angle measure in degrees, you must first convert the angle from degrees to radians, using the formula: Degrees = Radians X (pi/180). Then take the radians and the radius that you are given, and put them into the formula of Q = (a/r) where Q is the angle in radians, a is the arc length, and r is the radius. When you have this, simple multiply both sides by the radius to isolate the a. Once you do this, you have your answer.
An arc of length 6cm subtending an angle at the centre of 1.5c is equivalent to the whole circle of length 2πr subtending 2π radians. Therefore, 6/1.5 = 2πr/2π = r : Then r = 4 cm. NOTE : A radian can be defined as the angle at the centre of a circle subtended by an arc equal in length to the radius. So an arc subtending an angle of 2 radians is twice the length of the radius. An arc subtending an angle of 1.5 radians is thus 11/2 times as long as the radius.
The length of the other diagonal works out as 12cm
(arc length / (radius * 2 * pi)) * 360 = angle
If the central angle is 70 and the radius is 8cm, how do you find out the chord lenght?
The arc length divided by the radius is the angle in radians. To convert radians to degrees, multiply by (180/pi).
you will need to know the angle subtended by the arc; arc length = radius x angle in radians
the general formula is arc length is equal the radius times the angle. s=r< s=arc length r=radius <=angle
The length of an arc is the radius times the angle in radians that the arc subtends length = radius times angle in degrees times pi/180
Angle = Arc length * 360/(2*pi*r) = 180/(pi*r) where r is the radius.
it is more accurately called the "arc" the arc in circles are measure by the radius and the angle of projection. the formula is... s=r(angle) s is the arc length r is the radius length angle is the angle that the entire arc length makes
The answer depends on what information you do have: radius, arc length, central angle etc.
If the radius is 8cm and the central angle is 70, how do yu workout the chord lenght?
the formula for the arc of a triangle is the arc length is equal to the angle times the radius. s=arc length theta=angle made y length of the arc lenth r=radius s=theta times radius
Length = angle˚/360˚ x 2∏r