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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) |
Answer» 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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