Question

if a sector of a circle has area 100 cm^2,then find the perimeter of this sector is ​

Answer 1

Answer:

area=100cm^2

πr^2=100

22/7*r^2=100

r^2=700/22

Step-by-step explanation:

area=πr^2

perimeter=circumference=2πr

Answer 2

The perimeter of this sector is ​ $P= 2r + \frac{200}{r}$.

Step-by-step explanation:

Given : If a sector of a circle has area 100 cm².

To find : The perimeter of this sector is ​?

Solution :

A sector of a circle has area 100 cm².

Area of a sector of the circle of angle x and radius r is

$A=\frac{xr^2}{2}$

i.e. $100=\frac{xr^2}{2}$

$\Rightarrow xr=\frac{200}{r}$

Perimeter of the curved surface of the sector of the circle is given by,

$P=xr$

$P=\frac{200}{r}$

Perimeter of the sector of the circle is

$P= 2r + \frac{200}{r}$

Therefore, the perimeter of this sector is ​ $P= 2r + \frac{200}{r}$.

#Learn more

A circle has a sector with area 24/5π and central angle of 48∘ What is the area of the circle?

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