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Assuming the shaded sector has the angle of 100o (without seeing the diagram, it could be the other sector, ie the one with an angle of 260o):

The sector is 1000 ÷ 360o = 5/18 of the circle.

Thus its area is 5/18 that of the circle:

area = 5/18 x π x 82

~= 55.9 units2

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Q: What is the area of the shaded sector if the circle has a radius of 8 and the central angle is 100 degrees?
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Area of a part of circle?

Area of a sector of a circle = (pi) x (radius)2 x (central angle of the sector / 360)


What is the area of a sector of a circle with central angle is 18.0 and radius is 5 inches?

The area of the whole circle is pi*r2 = 25*pi To go any further, you need to assume that the central angle is given in degrees. If the sector is 18.0 degrees out of a circle of 360 degrees so the sector represents 18/360 = 1/20 of the whole circle. The area of the sector, therefore, is 1/20 of the area of the whole circle = 25*pi/20 = 5*pi/4 or 1.25*pi = 12.566 sq inches.


The area of the sector formed by the 110 degree central angle is 50 units squared What is the circumference of the circle?

For A+ 7.22The area of a sector of a circle is proportional to the angle at the center of the sector, with 360 degrees corresponding to the full circle. Therefore, the area of the total circle for which the problem is stated is 50 X 360/110 = about 163.6 square units. The area of a circle is also equal to pi multiplied by the square of the radius of the circle, so that the radius r of this circle equals the square root of 163.6/pi = about 7.217 units. The circumference of the circle is also twice the radius multiplied by pi = 45 units, to the justified number of significant digits (limited by "50").a+ 45.33


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