angle of arc/ angle of circle (360°) = length of the arc/ total circumference (2 pi* radius)
so you just have to find r then so:
angle of arc/ angle of circle (360°) *2pi = length of the arc/ radius
radius= ength of the arc/ angle of arc/ angle of circle (360°) *2pi
not that hard ;)
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Arc length = (x/360)*2 pi r
NB In radial terms 360 = 2 pi
Hence
Arc length = (x/2 pi) *2 pi r
Cancel down by '2 pi'
Hence
Arc length = x*r
Hence
r = Arc length / x
Where 'x' is the angular value in radians.
By using the other information supplied about the circle to calculate either its radius (from which its area can be calculated) or its area (if the circle is similar to another with a given area and some ratio between the two circle is given):If the diameter is given: radius = diameter ÷ 2If the circumference is given: radius = circumference ÷ 2πIf the circle is similar to another circle which has a given area, and the length ratio is given; square the length ratio to get the area ratio and apply to the given area.
To find the radius of the circle, we can use the Pythagorean theorem. The chord divides the circle into two equal parts, each forming a right triangle with the radius. The radius, the distance from the center to the chord, and half the length of the chord form a right triangle. Using the Pythagorean theorem, we have (radius)^2 = (distance from center)^2 + (1/2 * chord length)^2. Substituting in the given values, we get (radius)^2 = 8^2 - (1/2 * 4.2)^2. Solving for the radius gives us a radius of approximately 7.48 cm.
If you are given the radius of the circle, you can use the formula: diameter = 2*radius If you are given the circumference of the circle, you can use the formula: diameter = circumference/pi
What name is given to the distance around circle
c=TT R Given the area, the radius = square root (area / Pi). Given the circumference, the radius = circumf/ 2Pi.