The answer depends on what information you do have. But you have not bothered to share that crucial bit of information, and so I cannot provide a more useful answer.
If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.
The area of a sector of a circle that has a diameter of ten inches if the length of the arc is ten inches is: 25 square units.
That will depend on the length of its arc which has not been given
The sector area works out as: 10/10pi times 25pi = 25 square in.
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)
There is no direct relation between the area of a sector and the length of an arc. You must know the radius (or diameter) or the angle of the sector at the centre.
If you have the arc length:where:L is the arc length.R is the radius of the circle of which the sector is part.
how
The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.
It depends on what information you have: the radius and the area of the sector or the length of the arc.
The area of the sector of a circle which has a diameter of 10 inches if the length of the arc is 10 inches is: 25 square inches.
The area of a sector of a circle that has a diameter of ten inches if the length of the arc is ten inches is: 25 square units.
That will depend on the length of its arc which has not been given
To calculate the arc length of a sector: calculate the circumference length, using (pi * diameter), then multiply by (sector angle / 360 degrees) so : (pi * diameter) * (sector angle / 360) = arc length
The sector area works out as: 10/10pi times 25pi = 25 square in.
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)
it's 25 sq in