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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.

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Q: What is the relation between area of a sector and length of an arc of a circle?
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Find the area of a sector of a circle with radius 12 and arc length 10pi?

The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.


How do you find the degrees sector of an circle?

It depends on what information you have: the radius and the area of the sector or the length of the arc.


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.


If the ratio of a circle's sector to its total area is 78 what is the measure of its sector's arc?

Length of arc = angle of arc (in radians) × radius of circle With a ratio of 7:8 the area of the sector is 7/8 the area of the whole circle. This is the same as saying that the circle has been divided up into 8 equal sectors and 7 have been shaded in. Dividing the circle up into 8 equal sectors will give each sector an angle of arc of 2π × 1/8 7 of these sectors will thus encompass an angle of arc of 2π × 1/8 × 7 = 2π × 7/8 = 7π/4 Thus the length of the arc of the sector is 7π/4 × radius of the circle. --------------------------------- Alternatively, it can be considered that as 7/8 of the area is in the sector, the length of the arc is 7/8 the circumference of the circle = 7/8 × 2π × radius = 7π/4 × radius.


To find the area of a sector you multiply the area of the circle by the measure of the arc determined by the sector?

Area of sector/Area of circle = Angle of sector/360o Area of sector = (Area of circle*Angle of sector)/360o

Related questions

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)


Find the area of a sector of a circle with radius 12 and arc length 10pi?

The area of a sector of a circle with radius 12 and arc length 10pi is: 188.5 square units.


How to find a sector area in a circle if you have only the arc length?

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.


What is the radius of a circle with a sector are of 662.89?

Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees


How do you find the degrees sector of an circle?

It depends on what information you have: the radius and the area of the sector or the length of the arc.


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.


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.


To find the area of a sector do you multiply the area of the circle by the measure of the arc determined by 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.


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?

it's 25 sq in


What is the relationship between a track and a sector?

track is invisible cirle on hard disk and sector are the segments of these circle


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.