Question

Perimeter of sector is 4 times of its radius what is the radian measurre?

Answer 1

The radian measures of the central angle of the sector is 2

Given,

In the question:

Perimeter of sector is 4 times of its radius .

To find the radian measures of the central angle of the sector is?

Now, According to the question:

We know:

The perimeter of the circumference is = 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

Hence,  The radian measures of the central angle of the sector is 2.

Learn more about Radians at:

brainly.com/question/16676878

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