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6 March, 21:06

1.) A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?

Use 3.14 for pi.

2.) What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

Use 3.14 for π and round your final answer to the nearest hundredth.

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Answers (1)
  1. 6 March, 23:42
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    1. Given that a sector of 20° has the area of 21.5π yd², the area of the circle will be found using proportionality

    Area = (360) / (20) * 21.5π

    =387π yd²

    =387 (3.14)

    =1215.18 yd²

    2. Area=πr²

    π=3.14

    r=21.2/2=10.6 cm

    hence

    A=3.14 (10.6) ² (3/5*180) / 360

    A=352.8104*0.6

    A=211.686 cm²
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