It is known that the circumference of the sector is 10 and the arc length is L. the functional relationship of the sector area with respect to the arc length of the sector and the sector area are obtained

It is known that the circumference of the sector is 10 and the arc length is L. the functional relationship of the sector area with respect to the arc length of the sector and the sector area are obtained

Let the radius of the sector be x and the angle be y (in radians),
Then: X * y = L
2X+L=10
The result is: x = (10-L) / 2
Y=2L/(10-L)
Then: Area s = XL / 2 = (10-L) l / 4

If the central angle of a sector is one fourth of the circumference angle, then the area of the sector is () of the area of the circle in which it is located, and the central angle of the sector
If the center angle of a sector is one fourth of the circumference angle, then the area of the sector is () of the area of its circle, and the center angle of the sector is () degrees

If the center angle of a sector is one fourth of the circumference angle, then the area of the sector is (1 / 4) of its circle area, and the center angle of the sector is (90) degrees

If the sector area with radius 6 is 3 / 2 π, then the central angle of the circle is
RT

3/2*π/(6*6*π)=1/24
The center angle of the circle is 360 * 1 / 24 = 15 degrees