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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)
A circle has an area of 24 m What is the area of a 45 sector of this circle?
Divide the angle sector by 360 and multiply it by 24 square meters. The area is equal to 3 square meters.
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.
What is the area of the shaded sector if the circle has a radius of 8 and the central angle is 100 degrees?
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
What is the area enclosed by a chord of a circle?
The area enclosed by a chord is equal to the area enclosed by a segment minus the area enclosed by the triangle with the same corners as the segment. To visualise it, draw a circle and put a chord on it. Label the chord AB and the centre of the circle C. The area of sector AB equal to the area of sector ABC minus the area of triangle ABC.
