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What is the area of a sector of a circle that has a diameter of ten inches if the length of the arc is ten 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.
How do you work out the area of a sector when given the length of the arc?
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)
What is the area of a sector of a circle which has a diameter of 10 inches if the length of the arc is 10 inches?
diameter d = 10 in radius r = 5 in arc length s = 10 in C = pi d = pi x 10 in = 10pi in s/C = 10 in/10pi in = 1/pi A circle = pi r2 = pi(5 in)2 = 25pi in2 A sector/A circle = 1/pi (cross multiply) pi A sector = 25pi in2 (divide both sides by pi) A sector = 25 in2
If the circumference of a circle is 75 in what is the length of the arc of a sector of 72 degrees in inches?
15 in
What is the area of a sector of a circle that has a diameter of 10 in. if the length of the arc is 10 in.?
The sector area works out as: 10/10pi times 25pi = 25 square in.
