Introduction:
Arc refers to a part of a circle or a curve. In case of the circle, it contains minor arc and major arc. The arc length of minor is the multiplication of circumference of a circle and fraction of an angle`theta`, (`theta` /360).
Geometry is a theoretical subject, but easy to understand, and it has many real practical applications. Eventually, geometry has evolved into a skillfully arranged and sensibly organized body of knowledge.
Arc Length of a Circle
Arc length of a circle:
In the above figure shows the description of arc length of a circle.
The length of an arc of a circle can be represented with the radius r and an angle ? at the center of the circle.
That is, L/circumference = ? / (2p)
Here we can substitute the circumference formula and then we get,
L/ (2pr) = ? / (2p)
Using cross multiplication, we get the following
L= r?
Substitute the value of ?= (`theta` p) / 180
Therefore, the length of a circle,
L= (`theta` p r) /180
Arc Area and Arc Segment Area of Circle
Arc Area:
In the above figure shows the description of arc of the circle.
In the above circle AB is called minor arc and major arc as indicated. If A and B are end points of a diameter then it is named as semicircle.
The area between the center and an arc of a circle is:
A=1/2(r2?)
A/ (pr2) =?/2 p
We can get rid of a p on both sides:
A/r2=?/2
And then, by multiplying both sides by r2, we get the Final Formula
A=1/2(r2?)
Arc Segment Area:
The area of the shape restricted by the arc and a straight line between the given two end points is
((1/2) r2 (?-sin?))
To get the area of segment area we can subtract the values of arc area of triangle and the sine value of center of circle.
Understanding complex rational expressions solver is always challenging for me but thanks to all math help websites to help me out.
Arc refers to a part of a circle or a curve. In case of the circle, it contains minor arc and major arc. The arc length of minor is the multiplication of circumference of a circle and fraction of an angle`theta`, (`theta` /360).
Geometry is a theoretical subject, but easy to understand, and it has many real practical applications. Eventually, geometry has evolved into a skillfully arranged and sensibly organized body of knowledge.
Arc Length of a Circle
Arc length of a circle:
The length of an arc of a circle can be represented with the radius r and an angle ? at the center of the circle.
That is, L/circumference = ? / (2p)
Here we can substitute the circumference formula and then we get,
L/ (2pr) = ? / (2p)
Using cross multiplication, we get the following
L= r?
Substitute the value of ?= (`theta` p) / 180
Therefore, the length of a circle,
L= (`theta` p r) /180
Arc Area and Arc Segment Area of Circle
Arc Area:
In the above circle AB is called minor arc and major arc as indicated. If A and B are end points of a diameter then it is named as semicircle.
The area between the center and an arc of a circle is:
A=1/2(r2?)
A/ (pr2) =?/2 p
We can get rid of a p on both sides:
A/r2=?/2
And then, by multiplying both sides by r2, we get the Final Formula
A=1/2(r2?)
Arc Segment Area:
The area of the shape restricted by the arc and a straight line between the given two end points is
((1/2) r2 (?-sin?))
To get the area of segment area we can subtract the values of arc area of triangle and the sine value of center of circle.
Understanding complex rational expressions solver is always challenging for me but thanks to all math help websites to help me out.
