Question

if the perimeter of a sector of a circle is 4 times the radius of circle find the central angle corresponding sector in radian

Answer 1

Using the property

Length of arc = Angle× Radius.

It's pretty easy question , if you read the question carefully.

Answer 2

Answer:

the central angle corresponding sector in radian is given by 2

Step-by-step explanation:

Given:

perimeter of a sector of a circle is 4 times the radius of circle

P=4r

To find:

Central angle=?

Perimeter of a sector = 2r+Xr; where X is angle & r is radius.

perimeter of sector$=r+r+Xr=4r\\=2r+Xr=4r\\=Xr=4r-2r \\=Xr=2r\\X=2$

the central angle corresponding sector in radian is 2

Reference Link

• https://brainly.in/question/28573
• https://brainly.in/question/2159489