circumference = 2*pi*7 = 43.98229715
arc = (120/360)*43.98229715 = 14.66076572 or 14.661 units rounded to 3 dp
To find the arc length of a minor arc, you can use the formula: ( L = \frac{\theta}{360} \times 2\pi r ), where ( L ) is the arc length, ( \theta ) is the central angle in degrees, and ( r ) is the radius. For a minor arc with a central angle of 120 degrees and a radius of 8, substitute the values into the formula: ( L = \frac{120}{360} \times 2\pi \times 8 ). This simplifies to ( L = \frac{1}{3} \times 16\pi ), resulting in an arc length of approximately ( 16.76 ) units.
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
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.
To find the length of arc ( ABC ), we need to know the radius of the circle and the angle in degrees or radians that subtends the arc. However, the provided numbers, "120" and "10," are unclear without context. If "120" refers to the angle in degrees and "10" refers to the radius, the arc length can be calculated using the formula ( \text{Arc Length} = \frac{\theta}{360} \times 2\pi r ). Substituting the values, ( \text{Arc Length} = \frac{120}{360} \times 2\pi \times 10 ) gives an arc length of approximately ( 20\pi ) or about 62.83 units.
Arc length = pi*r*theta/180 = 17.76 units of length.
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
It will be 1/3 of the circle's circumference
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.
An arc length of 120 degrees is 1/3 of the circumference of a circle
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)
The length of an arc, with an angle in degrees, is equal to (pi x r x θ)/180.In this case, it is (pi x 120 x 10)/180, which is (20pi)/3 or about 20.944.This answer is not right for A+
3.34 units
47.10
A whole circle is 360 deg so the major arc is 360-120 = 240 degrees.
The interior angles of a regular hexagon measure 120° A regular hexagon has all sides the same length and all angles are equal.