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cupoosta [38]
3 years ago
11

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

Mathematics
1 answer:
nexus9112 [7]3 years ago
4 0
We  know that

the perimeter of a circumference=2*pi*r

<span>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 -------------------------------------------> </span>2*r  (the sector)<span>
X=2*r*(2*pi)/(2*pi*r)-----> x=2

the answer is
2</span>
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