Question

Area of a sector to circle of radius 6 cm is 9π cm2
. Find the length arc of the corresponding arc of
the circle is: -

Answer 1

Answer:

3π

Step-by-step explanation:

πr²x <A/360= 9π

therefore, <A =90°

length of arc =2πr/4

= π x 6 /2

= 3π

Answer 2

Given :

Area of sector of circle = 54π $cm^{2}$

Radius of circle = 36cm

Area of circle is given by

$\pi r^{2} *(thita/360)\\54\pi =(thiota/360)*\pi r^{2} \\(thita/360)=54/36*36 ... eq(1)$

The length of arc is given by

$2\pi r(thita/360)\\L=2\pi *36*(54/36*36)\\L=3\pi cm$

Hence the length of arc is $3\pi cm$