answersLogoWhite

0


Best Answer

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)

User Avatar

Wiki User

11y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: How do you work out the area of a sector when given the length of the arc?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

How do you work out the angle of a sector without knowing the area of the sector or length of arc?

how


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


Does the area of a sector depend pi?

The area sector of a circle needs pi to work it out.


How do you work out a length of a triangle?

The way you can work out the length of a triangle is if you are given the height and the area of that triangle ( this works of you don't want to measure it) or you could just measure it.


What is the radius of a circle with a sector area of 4 sq ft?

That's really going to depend on the angle of the sector. Even just knowing the length of the arc would help a lot. Give us something to work with. Anything !


Is a sector area the percentage of the circle's area?

Yes. That is often how pie charts work.


What is the area of a circle's segment that has a chord length of 30 cm and a diameter of 36 cm showing work?

1. The segment will be enclosed within a sector of radii 18 cm and an arc angle of about 113 degrees. 2. Area of sector: 113/360*pi*18*18 = 319 square cm rounded. 3. Area of segment: 316-area of isosceles triangle contained in the sector = 170 square cm rounded.


How do you work out the area of a sector using the angle and radius?

the area of a sector = (angle)/360 x PI x radius x radius pi r squared


How To work out Area?

You times length by width


How do you work out find out the area when the length is twice the with?

You just multipy the length (no matter what it is) by the width (no matter what that is). So... L x W = A Where L is Length, W is Width and A is Area. For your question about the area of a rectangle where the length is twice the width but no numbers are given then I guess a formula could be W x 2W = A. Or send me the exact question and I'll see if I can think of a better answer.


How do you find the area of a right angled triangle when knowing the base?

Knowing just the length of the base you can not work out the area. You need the height and the base or the length of the hypotenuse in order to work out the area.


Why does length x width work for finding area?

That is the definition of the area of a rectangle. It does not work for any other shape.