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.
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.
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
1) Draw a circle of radius 32 2) Draw a radius (meeting the perimeter at A) 3) Based on the radius, construct an angle at the centre of the circle of 100° - draw a second radius (meeting the perimeter at B) 4) Based on the second radius, construct an angle at the centre of the circle of 120° - draw a third radius (meeting the perimeter at C) Note : the angle between the third and first radii measures 140°. 5) Draw chords joining A to B, B to C, and C to A. The triangle ABC has angles measuring 50°, 60° and 70°. NOTE : The process is based on the Theorem that the angle subtended by an arc at the centre of a circle is twice the angle subtended at any point on the circumference.
A central angle of 120 is one third of the circle, so the arc length of 28.61 is one third of the circumference. 28.61 X 3 = 85.83
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
Since diameter is twice its radius, the radius of this circle would be 60
The area of a sector in a circle if the radius is 4 cm and the arc has degree 120 is: 16.76 cm2
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector
In ratios, the ratios of areas is the square of the ratio of sides. Consider the original circle and the new larger circle formed by multiplying its radius (length) by 3: The circles have lengths in the ratio 1 : 3 → the circle have areas in the ratio 1² : 3² = 1 : 9 → The larger circle's area is 9 × 120 mm² = 1080 mm²
circumference of the circle = 2*pi*10 = 20pi units of measurement length of arc = (120/360)*20pi = 20.944 units (rounded to 3 decimal places)
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.
47.10
I guess you are referring to a circle with area 120 m2 and want to know its radius: area_circle = π x radius2 ⇒ radius = √(area_circle ÷ π) = √(120 m2÷ π) ≈ 6.18 m
An arc length of 120 degrees is 1/3 of the circumference of a circle
The answer depends on what the measures refer to.
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)