3 years ago

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

1 answer:

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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3 years ago

In ΔUVW, the measure of ∠W=90°, VW = 32 feet, and WU = 78 feet. Find the measure of ∠V to the nearest degree.

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Answer: $67.68^{\circ}$

Step-by-step explanation:

Given

$\angle W=90^{\circ}$

$VW=32\ ft$

$WU=78\ ft$

from the figure, we can write

$\Rightarrow \tan v=\dfrac{UW}{VW}\\\\\Rightarrow \tan v=\dfrac{78}{32}\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^{\circ}$