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No. Assuming the measure of the arc is in some units of length along the curve, you have to divide the result by the circumference of the circle. Basically, you need to multiply the area of the whole circle by the fraction of the whole circle that the sector accounts for.
The area of the circle is(17,640)/(the number of degrees in the central angle of the sector)
Area of whole circle = pi*r2 = 64*pi Area of Sector = Area of Whole Circle * Angle of Sector/Angle of Whole Circle = Area of Whole Circle * 120/360 = Area of Whole Circle / 3 = 64*pi/3 = 67.0 to the nearest tenth.
The area of the sector of the circle formed by the central angle is: 37.7 square units.
i thank it is a long thing
The area of a sector is the area of the circle multiplied by the fraction of the circle covered by that sector. This is a true statement and correct formula.
That would certainly do it.
If you're only given the length of the arc, then you can't. You also need to know the fraction of the circle that's in the sector. You can figure that out if you know the angle of the arc, or the radius or diameter of the circle. -- Diameter of the circle = 2 x (radius of the circle) -- Circumference of the circle = (pi) x (Diameter of the circle) -- (length of the arc)/(circumference of the circle) = the fraction of the whole circle that's in the sector or -- (degrees in the arc)/360 = the fraction of the whole circle that's in the sector -- Area of the circle = (pi) x (radius of the circle)2 -- Area of the sector = (Area of the circle) x (fraction of the whole circle that's in the sector)
No. Assuming the measure of the arc is in some units of length along the curve, you have to divide the result by the circumference of the circle. Basically, you need to multiply the area of the whole circle by the fraction of the whole circle that the sector accounts for.
Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o
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
If it is a sector of a circle then the arc is the curved part of the circle which forms a boundary of the sector.
For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.
It is NOT a fraction but a SECTOR. of 7 degres. The regions of a circle are: - Circumference ; all the way around. Radius ; distance from the centre to the circumference Diameter ; Twice the radius and a straight line from circumference through the centre to the opposite side . Chord; a line drawen inside a circle, betwwen two points on the circumference, but NOT touching the centre. Arc ; that part of the circumference that form the curved side of a sector. Sector ; An area inside the circle whose bondaries are two radii and an arc. Tangent ; a line outside the circle just touching the circumference in ONE place.
There is no specific formula for a sector of a circle. There is a formula for its angle (at the centre), its perimeter, its area.
It is a sector of the circle
It depends whether the UNSHOWN figure has the shaded sector as the sector which includes the 90° angle, or the one which excludes it. Assuming that it is the sector including the 90° angle, ie the question should have been written: What is the area of a sector of a circle with a radius of 3 units when the angle of the sector is 90°? It is a fraction of the whole area of the circle. The fraction is 90°/360° (as there are 360° in a full turn and only 90° are required) = 1/4 Area circle = π × radius² = π × (3 units)² = 9π square units → area 90° sector = ¼ × area circle = ¼ × 9π square units = 9π/4 square units ≈ 7.1 square units