Question

the area of sector is 1 by 5 of the area of the circle containing it​

Answer 1

AnsweR :-

It is given that ,

Area of the sector ( A ) = 15π sq cm

Radius of the circle ( r ) = 6 cm

We know that ,

1 ) Area of the sector ( A ) = ( x°/360 ) × πr²

Where , x is sector angle ,

2 ) length of the arc ( l ) = ( x°/360 ) × 2πr

Now ,

1 ) ( x°/360 ) × πr² = A

( x°/360 ) × π × 6² = 15π

x° = ( 15π × 360 )/( π × 36 )

x° = 150

2 ) length of the arc ( l ) = ( x/360 ) × 2πr

l = ( 150/360 ) × 2 × π × 6

l = 5π cm