The sector isn't a question, and there's no answer to it. There are a few
numbers that describe it, however, and they can be calculated like this:
-- The circumference of the circle is (pi) x (diameter) = 12 pi cm
-- The area of the circle is (pi) x (radius)2 = 36 pi cm2
-- 120 degrees is 1/3 of the circle.
The length of the arc of the sector is 12 pi/3 = 12.5664 cm (rounded)
The area of the sector is 36 pi/3 = 37.6991 cm2(rounded)
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
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
Length of arc = pi*radius*angle/180 = 10.47 units (to 2 dp)
if a circle has a radius of 12cm and a sector defined by a 120 degree arc what is the area of the sector
Area_circle = π × radius² Area_sector = fraction of area_circle fraction_of_circle = angle_at_centre/full_turn → area_sector = 120°/360° × π × (8 cm)² → area_sector = 64/3 × π cm² → area_sector ≈ 67.02 cm² (≈ 67 cm²)
An angle of 120 degrees is an obtuse angle
When an angle has a measure of 120 degrees, it is an obtuse angle. When an angle is an obtuse angle its measure is between 90 and 180 degrees. That is: 90 degrees < obtuse angle < 180 degrees.
120 degrees is an obtuse angle
An angle with a measure of 120 degrees does nothing. It has no potential to do anything. It just is.An angle with a measure of 120 degrees does nothing. It has no potential to do anything. It just is.An angle with a measure of 120 degrees does nothing. It has no potential to do anything. It just is.An angle with a measure of 120 degrees does nothing. It has no potential to do anything. It just is.
The area of a sector in a circle if the radius is 4 cm and the arc has degree 120 is: 16.76 cm2
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