contestada

If the perimeter of a sector is 4 times its radius, then the radian measure of the central angle of the sector is

a. 2
b. 4
c. 2/pi
d. 4/pi

Respuesta :

calculista
we  know that

the perimeter of a circumference=2*pi*r

If the perimeter of a sector is 4 times its radius, then the arc measure of the sector is (4r-2r)----> 2r
so
if 2*pi radians (full circle) has a length------------------> 2*pi*r
 X radians -------------------------------------------> 2*r  (the sector)
X=2*r*(2*pi)/(2*pi*r)-----> x=2

the answer is
2

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