Question

the area of quadrant is 154sq cm find its perimeter ​

Answer 1

Answer:

Let the radius of circle be r cm.

Now the area of circle⇒πr

2

=154cm

2

⇒

7

22

×

2

=154cm

2

⇒r

2

=

22

154×7

⇒r

2

=49

⇒r=7cm

Perimeter of the circle=Circumference

=2πr

=2×

7

22

×7

=44cm

follow me please

Answer 2

Answer:

Step-by-step explanation:

$Area$ $of$ $quadrant$ $=154cm^2$

$Area$ $of$ $quadrant:$   $\frac{1}{4} \pi r^{2}$

$Equating$ $the$ $two:$

$\frac{1}{4} \pi r^{2}$$=154cm^2$

$\pi r^{2} =154*4$

$\pi r^{2} =616$

$\frac{22}{7} r^{2} =616$

$r^{2} =\frac{616*7}{22}$

$r^2=196$

$r=\sqrt{196}$

$r=14cm$

$Perimeter$ $of$$quadrant$ =$\frac{1}{4} 2\pi r$

                                    =$\frac{\pi r }{2}$

$\frac{\pi *14}{2}$

$\pi *7$

$\frac{22}{7} *7$

$=22cm$

Hence the perimeter of the quadrant is 22cm