Question

The area of a sector of a circle of radius 6cm is 15 paicm2 so find the length of the area of the sector

Answer 1

${\huge {\underline {\bf {\red {Answer}}}}}$

It is given that ,

Area of the sector ( A ) = 15π sq cm

Radius of the circle ( r ) = 6 cm

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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

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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

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