the area of a sector = (angle)/360 x PI x radius x radius
pi r squared
Use the formula for the area of a circular sector, and solve for the angle.For a circular sector: area = radius squared times angle / 2 (Note: The angle is supposed to be expressed in radians; and in this specific problem, there is no need to convert it to degrees.) Since you know the area and the radius (according to the comments added to this question), you can solve for the angle. Once you know the angle (in radians!), the arc length is simply angle x radius.
That will depend on the length or angle of the arc which has not been given
apply this formula: A = t/360 r2 when t = angle at center and r = radius so A = 471.2 (rounded to 1 decimal place)
To find the radius of the circle, we first need to determine the radius of the sector. The area of a sector is given by the formula A = 0.5 * r^2 * θ, where A is the area, r is the radius, and θ is the central angle in radians. In this case, the central angle is 400 degrees, which is approximately 6.98 radians. Plugging in the values, we get 300 = 0.5 * r^2 * 6.98. Solving for r, we find that the radius is approximately 7.67 cm.
Area of sector = (32*pi*8.52)/360 = 20.18 square units correct to 2 dp
It depends on what else is known about the sector: length of arc, area or some other measure.
if given the central angle and the area of the circle, then by proportion: Given angle / sector area = 360 / Entire area, then solve for the sector area
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm
The area of the sector is: 221.2 cm2
4 ft.
Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)
394.7841751413609 125.6637061
Radius is 9 so area of complete circle (360o) is 81 x 3.14 ie 254.34. Angle of sector is therefore 360 x 169.56/254.34 which is 240o
Use the formula for the area of a circular sector, and solve for the angle.For a circular sector: area = radius squared times angle / 2 (Note: The angle is supposed to be expressed in radians; and in this specific problem, there is no need to convert it to degrees.) Since you know the area and the radius (according to the comments added to this question), you can solve for the angle. Once you know the angle (in radians!), the arc length is simply angle x radius.
(pi * radius squared) * ( sector angle / 360 )
6.46