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Radius of a circle is 10 cm. Measure of an arc of the circle is 54°. Find the area of the sector associated with the arc. (π = 3.14)

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Given : Radius (r) = 10 cm, 

Measure of the arc (θ) = 54° 

To find : Area of the sector. 

Area of sector = θ/360 x πr2

= 54/360 × 3.14 × (10)2 

= 3/20 × 3.14 × 100 

= 3 × 3.14 × 5 

= 15 × 3.14 

= 47.1 cm2

∴ The area of the sector is 47.1 cm2.

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