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The area of the circle is 81πsq. cm. Find the arc length of this circle thay subtends a central angle of theta = π/3

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by soleradrian

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by soleradrian

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Area of circle = 81 π cm²

⇒π r² = 81 π

⇒ r² = 81

⇒** r = 9 cm**

now length of arc = (2π r)× (π/3)/(2 π)

= π r/3

= π × 9 /3

= 3π

**∴ so length of arc subtending angle π/3 = 3π**

⇒π r² = 81 π

⇒ r² = 81

⇒

now length of arc = (2π r)× (π/3)/(2 π)

= π r/3

= π × 9 /3

= 3π

( arc length ) = ( angle subtnded ) * ( radius )

=> arc length = (pi / 3) * 9 = 3 ( pi ) = 3 * 3.1415 cm

= 9.4245 cm