If the arc length of a sector is 20 π cm and the area is 240 π cm 3, what is the central angle of the sector? Who can explain it clearly,

If the arc length of a sector is 20 π cm and the area is 240 π cm 3, what is the central angle of the sector? Who can explain it clearly,

According to the area formula of the sector: S = (L * r) / 2 = (n * π * r 2) / (2 * π), two equations can be separated: S = (L * r) / 2 to get the value of R, r = 24 cm, and then: s = (n * π * r 2) / (2 * π) to find the value of N, and the value of n is the central angle of the sector, and finally n = (...)

If the center angle of the sector is 100 ° and the area of the sector is 250 π cm, then the arc length of the sector is

The arc length is (50 / 3) π
S = 2 / 1lr, l = R * center angle
S = 2 / 1R square times center angle = 250 π, and R = 30
Formula brought into L

Given that the center angle of the sector is 120 degrees and the radius is 2cm, how many degrees is the arc length and the area of the sector

Arc length degree = 120 degree = 120 / 360 * Π = Π / 3
Area of sector = 120 / 360 * Π * 2 * 2 = Π / 3

If the arc length of the sector whose center angle is 120 ° is 12 π cm, then the area of the sector is

The arc length of 120 degrees is 1 / 3 of the circle,
The circumference of the circle is 3 times 12 π, which is 36 π
Because: 2 π r = circumference of the circle, the radius of the circle is 36 π / 2 π = 18
The area of the circle is 18 times π, which is 324 π
The sector area is 324 π / 3 = 108 π

The arc length of the sector is 6 π cm, the center angle of the circle is 120 ° and the area of the sector is calculated

Radius r, then 2 π * r * 120 / 360 = 6 π r = 9
Area = π R ^ 2 * 120 / 360 = 81 π / 3 = 27 π

If the center angle of the sector is 150 ° and the radius is 2cm, then the arc length of the sector is cm and the area of the sector is cm2

Arc length is 150 / 180 * π * 2 = 5 π / 3 (CM)
The area is 150 / 360 * π * 2 ^ 2 = 5 π / 3 (cm2)

If the radius of a sector is 2 cm and the center angle is 60 degrees, the arc length and area of the sector are cm and cm 2 respectively As the title Are both two pi / 3cm?

Sector area = n π R 2 / 360 (n is the angle degree of the center of the circle, R is the radius)
=60*π*4/360
=2π/3
Sector area = LR / 2 = 2 π / 3 (L is arc length, R is radius
Arc length L = 2 π / 3
If the radius of a sector is 2 cm and the center angle is 60 degrees, the arc length of the sector is 2 π / 3 cm and the area is 2 π / 3 cm 2
One is square centimeter, the other is centimeter, different concepts, one is area, the other is length

The radius of a sector is equal to twice of the radius of a circle, and the area of the sector is equal to that of the circle

Let the radius of the circle be r, then the radius of the sector is 2R, and the angle of the center of the circle is n
∵ s circle = s sector
∴πr²=[nπ（2r）²]/360
πr²=（4nπr²）/360
1=（4n）/360
4n=360
n=90
A: the degree of the center angle of the sector is 90 degrees

The radius of a sector is equal to 2 times of the radius of a circle, and the area of the sector is half of the area of the circle A detailed explanation of the question will help the respondent to give an accurate answer There is another question: square and circle with equal circumference. Which area is larger and why?

Let X be the center angle of the sector, its radius is 2R, then the radius of the circle is r
The area of the sector = x * (2R) ^ 2 / 2 = 2XR ^ 2,
Area of circle = Πr ^ 2
Because the area of the sector is twice the area of the circle,
So 2XR ^ 2 = 2 * Π R ^ 2,
X = Πor 180 degrees

The area of the fan is 157 square centimeters, the area of the circle where the fan is located is 1256 square centimeters, and the center angle of the fan is ()

The area of the fan is 157 square centimeters, the area of the circle where the fan is located is 1256 square centimeters, and the center angle of the fan is (45 degrees)
First, find the fraction of the sector area in the circular area, and then multiply the angle of the circle by 360 ° to obtain the center angle
157÷1256=1/8
360°×1/8=45°