A wire in the form of a rectangle of sides 6 cm and 4 cm is reshaped into a sector of a circle of radius 5 cm. Find the angle of the sector in radians and degrees
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Wire length = perimeter of rectangle = 2 * (6+4) = 20 cm
So Sector length = 20 cm, as perimeter of rectangle now becomes the arc / sector.
But sector length = Radius R * arc angle in radians, Ф
20 cm = 5 cm * Ф => Ф = 4 radians = 4 * 360 / 2 * 3.14 degrees
as 2 pi radians = 360 degrees ie., a full circle.
please calculate the result.
So Sector length = 20 cm, as perimeter of rectangle now becomes the arc / sector.
But sector length = Radius R * arc angle in radians, Ф
20 cm = 5 cm * Ф => Ф = 4 radians = 4 * 360 / 2 * 3.14 degrees
as 2 pi radians = 360 degrees ie., a full circle.
please calculate the result.
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