Question

the angle of a sector in the given circle is 40° and the area of the sector is 60cm² find the length of arc corresponding to the sector
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Answer 1

Answer:

If the area and arc length of the sector of a circle are 60 cm

2

and 20 cm respectively, then the diameter of the circle is

Arc length of the Circle : Area of the Sector = Perimeter of the Circle :Area of the Circle

Let the radius of the circle be 'r'.

Hence, 20:60=2πr:πr

2

1:3=2:r

r=6 (Product of Means = Product of Extremes)

Therefore, Diameter=2r=12cm

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