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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.

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Q: 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?
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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.


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.


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.


What is the area of a sector of a circle that has a diameter of 10in if the length of the arc is 10in?

25 square inches.Method:The area of complete circle is Pi x radius2 which is 3.14159 x 5 x 5, = 78.53982 sq ins.The circumference of a circle is Pi x diameter, which is 3.14159 x 10, = 31.4149 ins.But the arc is only 10/31.4159ths of the length of the full circle (10 divided by 31.4159 is 0.3183).So the area of sector with an arc 10 inches in length is: area of full circle (78.53982) x 0.3183 = 25.The above figures are only to a few significant decimal places. If you do the computations on a computer or a calculator the answer will come to exactly 25

Related questions

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


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.


What is the area of a sector of a circle that has a diameter of 10in if the length of the arc is 10in?

25 square inches.Method:The area of complete circle is Pi x radius2 which is 3.14159 x 5 x 5, = 78.53982 sq ins.The circumference of a circle is Pi x diameter, which is 3.14159 x 10, = 31.4149 ins.But the arc is only 10/31.4159ths of the length of the full circle (10 divided by 31.4159 is 0.3183).So the area of sector with an arc 10 inches in length is: area of full circle (78.53982) x 0.3183 = 25.The above figures are only to a few significant decimal places. If you do the computations on a computer or a calculator the answer will come to exactly 25