hey whats the formula for finding the perimeter of the sector??

Answer 1

The perimeter is the distance around a given two-dimensional object. The word perimeter is a Greek root meaning measure around, or literally "around measure."

As a general rule, the perimeter of a polygon can always be calculated by adding all the length of the sides together. So, the formula for triangles is P = a + b + c, where a, b and c stand for each side of it. For quadrilaterals the equation is P = a + b + c + d. For equilateral polygons, P = na, where n is the number of sides and a is the side length.


Circles
For circles the equation is
P= 2 * pi * r


P stands for the perimter,
r stands for the radius
π is the mathematical constant pi (π = 3.14159265...)

Answer 2

Hey! Yourself| You didn't say "please" but I'll answer your question anyway.
A sector of a circle is a part bounded by two radii and a part of the circumference, therefore the perimeter of the sector is the sum of the two radii and the length of that part of the circumference enclosing the sector. The formula for the circumference of the circle is two Pi x r (or Pi x Diameter) The circumference of the sector is its length in proportion to the whole circumference of the circle - this can be determined by the ratio of the angle between
the two radii to 360 degrees
The formula for the perimeter of the sector is thus easily worked out using the above info! Hope this helps!

Answer 3

Well the two lines from the centre of the circle to the edge are radii so that 2r.
The curved bit is part of the perimeter of the full circle.
A full circle is 360 degrees and perimeter of full circle is 2 x pi x r. So if your sector has angle Y, then curved bit of sector is
2 x pi x r x Y / 360.
So, perimeter of sector = 2r + (2 x pi x r x Y / 360) which can be simplified to 2r(1 + pi x Y /360).

Answer 4

a sector is a piece of a circle defined by two straight sides (radii) with an arc of the circles perimeter.
the two straight sides are the same as the radius = r+r

the length of the arc can be found from perimeter = 2*pi*r
if you are given the angle (a) between the sides/radii then you can work out the length of the arc......since the whole perimeter = 360 degrees, then the arc length = a/360 * perimeter.

therefore the perimeter of the sector = a/360 * 2*pi*r + r + r
this simplifies to........ a * pi * r/180 + 2r

Answer 5

That would of course depend on what information you are giving about the size of the sector. The 2 straight sides are the radius of the circle. If you have the angle between the sides in radians, the length of the arc is equal to the angle times the radius. If the angle is given in degress, you can convert to radians.

So, the formula would be:
2 * r + theta * r
or equivalently
r * ( 2 + theta)

where r is the radius of the circel and theta is the angle between the 2 sides of the sector in radians.

Answer 6

Do you mean the perimeter of the part of a circle which consists an arc of the cirmference and the straight line which joins the two ends of the arc?
If so, I'm not sure right off - I'd have to work it out and you don't have that much time.
Forget it! I was thinking of a segment of a circle. If I'd got the definition right I'd have beaten the others!

Answer 7

P= ((angle of sector/360) x 2 x pi x r) + 2r

The formula for area follows a similar pattern:

A=(angle of sector/360) x pi x r^2

Answer 8

To find the perimeter of any given sector- P = 2r + (θπr/180)

Answer 9

From circle circumference equation, we have:

P= 2*pi*r (where r is the radius)

2*pi is actually the whole 360 degree angle in radians, so the length of the arc prescribe by an angle (theta) radians is = (theta)*r

=> perimeter of a sector is = r+r+r*(theta) = r*(2+theta)

QED.

Answer 10

If the angle, a, is in degrees and the radius is denoted by r:
Perimeter = (a/360) x 2 x pi x r + r + r = (2ar x pi)/360 + 2r

If the angle, b, is in radians and the radius is denoted by r:
Perimeter = br + r + r = (b+2)r