To find the radius of a circle from a central angle of 120 degrees, you need additional information, such as the length of the arc or the area of the sector. If you have the arc length (s), you can use the formula ( r = \frac{s}{\theta} ), where ( \theta ) is in radians (120 degrees is ( \frac{2\pi}{3} ) radians). If you know the area of the sector, you can use ( r = \sqrt{\frac{A}{\frac{1}{2} \theta}} ), where ( A ) is the area and ( \theta ) is in radians. Without extra data, the radius cannot be determined solely from the angle.
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
Construct a circle with a 4.5 radius. The circle's circumference is 360 degrees. So mark out 3 by 120 degrees on the circumference and join them to the centre of the circle which will divide the circle into three equal parts.
360 degrees in a circle 120 degrees = 12mm 360 degrees = 36mm Therefore the circumference of the circle is 36mm.
360 ÷ 3 = 120 degrees Therefore the circle (360 degrees) has been split into 3 parts of 120 degrees each.
3.34 units
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
There are 360 degrees in a circle so it will be 1/3 of pi*62 square units
The area of a sector in a circle if the radius is 4 cm and the arc has degree 120 is: 16.76 cm2
The 3rd arc of the circle: 360-120-130 = 110 degrees
Since diameter is twice its radius, the radius of this circle would be 60
An arc length of 120 degrees is 1/3 of the circumference of a circle
Construct a circle with a 4.5 radius. The circle's circumference is 360 degrees. So mark out 3 by 120 degrees on the circumference and join them to the centre of the circle which will divide the circle into three equal parts.
120 degrees is 1/3 of a circle.
It depends on the shape that is removed. It could be a smaller circle, whose radius is sqrt(2/3) = 0.8165 of the original radius, Or a circle with a hole with radius sqrt(1/3) = 0.5774 of the original radius cut out of it, Or a wedge making a central angle of 120 degrees removed from the circle, Or more complicated shapes.
120 degrees is 1/3 of a whole circle. So sector of 66.99 is 1/3 of the whole circumference ie circumference = 66.99*3 Then 2*pi*r = 66.99*3 so that r = 66.99*3/(2*pi) = 31.985
360 degrees in a circle 120 degrees = 12mm 360 degrees = 36mm Therefore the circumference of the circle is 36mm.
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector