I assume you want the area of the sector with angle 120o and radius 9 cm:
120o is 120/360 = 1/3 of a full circle.
⇒ area of sector is 1/3 area of full circle
⇒ area_of_sector = 1/3 x π x radius2
= 1/3 x π x (9 cm)2
= 27π cm2
≈ 84.82 cm2
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.
Never heard of centermetres before, and an area cannot be 120 centimetres because that is a measure of distance, not area. Instead, let us start with an area of 120 SQUARE centimetres. For a given area, the shape with the smallest perimeter is a circle. A circle with an area of 120 sq cm would have a radius of 6.18 cm and so a perimeter of 38.83 cm (to 2 dp).
There are 360 degrees in a circle so it will be 1/3 of pi*62 square units
The radius of a circle has no bearing on the angular measure of the arc: the radius can have any positive value.
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
The area of the sector of the circle formed by the central angle is: 37.7 square units.
A central angle of 120 is 1/3 of the total circle. Aea of a circle = pi x r2, so for this sector the area is (1/3)pi x r2 = (1/3)(3.14)(52) = 26.17
Since diameter is twice its radius, the radius of this circle would be 60
radius = 120/(2*pi) = 19.09859317 cm area = pi*19.098593172 = 1145.91559 or about 1146 square cm
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
Area of whole circle = pi*r2 = 64*pi Area of Sector = Area of Whole Circle * Angle of Sector/Angle of Whole Circle = Area of Whole Circle * 120/360 = Area of Whole Circle / 3 = 64*pi/3 = 67.0 to the nearest tenth.
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.
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