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How do you find the area of a sector of a circle when you're given only the radius and not the degrees?
You cannot. The angle of the sector MUST be given, although that might be implicitly rather than explicitly.
A sector of a circle has a central angle of 400 and an area of 300 cm2. Find the radius of the circle?
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.
How do i find the arc length if i know the area?
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.
How do you find a radius of a circle 120 degrees?
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.
How do you find the length of a sector?
The answer depends on what information you do have: radius, arc length, central angle etc.
What is the area of the shaded sector if the circle has a radius of 3 and the central angle is 90 degrees?
Find the area of the shaded sector. radius of 3 ...A+ = 7.07
How do you find the area of a sector of a circle when you're given only the radius and not the degrees?
You cannot. The angle of the sector MUST be given, although that might be implicitly rather than explicitly.
Find the arc length of a sector with a radius of 30 and an angle of 60 degrees?
arc length = angle/360 x r 60/360 x 30 = 5
How do you find the radius of a circle if the central angle is 36 degrees and the arc length of the sector is 2 pi cm?
The measure of the central angle divided by 360 degrees equals the arc length divided by circumference. So 36 degrees divided by 360 degrees equals 2pi cm/ 2pi*radius. 1/10=1/radius. Radius=10 cm.
How do you find the area of a shaded sector of a sector?
The area is r^2*x where r is the radius of the circle and x is the angle measured in radians. If you are still working in degrees then Area = (y/180)*r^2, where the angle is y.
How do you find the degrees sector of an circle?
It depends on what information you have: the radius and the area of the sector or the length of the arc.
How do you find the sector of a circle when it is 45 degrees and the radius 9?
93
A sector of a circle has a central angle of 50 and an area of 605 cm2 Find the radius of the circle?
If the sector of a circle has a central angle of 50 and an area of 605 cm2, the radius is: 37.24 cm
What is the radius of a sector with 36 degree angle and a 1.1 radius rounded to nearest hundredth?
As the angle (35 degrees) and the radius (1.1) of the sector are given, you need to find the area of the sector. I think the problem is asking you to do that.The area of a sector is equal to (1/2)(r^2)(θ), where r is the radius and θ is the angle in radians.In order to use this formula we need to convert degrees to radians.360 degrees = 2 pi radians1 degree = (2 pi)/360 = pi/180 radians So,36 degrees = 36(pi/180)= pi/5Thus,(1/2)(r^2)(θ) = (0.5)(1.1)^2(pi/5) ≈ 0.38
A sector of a circle has a central angle of 400 and an area of 300 cm2. Find the radius of the circle?
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.
How do i find the arc length if i know the area?
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.
How do you find a radius of a circle 120 degrees?
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.
