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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?
Wiki User
∙ 13y ago
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.
Wiki User
∙ 13y ago
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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
What is the area of a sector of a circle that has a diameter of 10 inches if the length of the arc is 10 inches?
The area of the full circle is (pi R2) = (25 pi) square inches. The full circumference is (2 pi R) = (10 pi) inches. An arc length of 10 is [ 10/(10 pi) ] = ( 1 / pi ) of the full circle. So the area of the sector is (full area / pi) = (25 pi) / pi = 25 square inches
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.
What is the area of a of a sector of a circle which has a diameter of 10 inches if the length of the arc is 10 inches?
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.
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
What is the area of a sector of a circle that has a diameter of 10 inches if the length of the arc is 10 inches?
The area of the full circle is (pi R2) = (25 pi) square inches. The full circumference is (2 pi R) = (10 pi) inches. An arc length of 10 is [ 10/(10 pi) ] = ( 1 / pi ) of the full circle. So the area of the sector is (full area / pi) = (25 pi) / pi = 25 square inches
What is the relation between area of a sector and length of an arc of a circle?
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.
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?
it's 25 sq in
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
Find the area of the sector when the sector measures 10 degrees and the diameter of the circle is 12?
For a circle where sector measures 10 degrees and the diameter of the circle is 12: Sector area = 3.142 square units.
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.
How do you calculate the the arc of a sector?
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
What is the arc length of a sector that is 125degrees and has a radius of 20 inches?
The arc length of a sector that is 125 degrees and has a radius of 20 inches is: 43.63 inches.
How do you calculate circle diameter?
The answer depends on what information about the circle is given: area, radius, length and angle of arc, area and angle of sector, etc. In each case, there is a different way to calculate the diameter but, since there is no information on what is known, it is not possible to answer the question.
