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The solution depends on the information supplied.
Basically, you find the area of the sector containing the segment and then deduct the area of the triangle formed by the chord and the two radii enclosing the sector.
If you are given the radius(r) of the circle and the height(h) then construct a radius that is perpendicular to and bisects the chord. This will create two congruent triangles which together form the main triangle. Using Pythagoras enables the half-chord length to be calculated as the hypotenuse is r and the height (also the length of the third side) is r-h. With this information the full chord length can be established and thus the area of the main triangle. Using sine or cosine methods enables the sector angle at the centre to be calculated and thus the sector area. Simple subtraction produces the area of the segment.
If you are given the radius and the chord(c) length then the construction referred to above enables the height of the main triangle to be calculated and a similar process will generate the area of that triangle and the sector area. This, in turn, will enable the segment area to be determined.
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How do you find the angle of a triangle within a circle segment?
To find the angle of a triangle within a circle segment, you first need to determine the central angle of the circle segment. Then, you can use the properties of triangles inscribed in circles to find the angle. The angle of the triangle within the circle segment will be half the measure of the central angle.
How do you find the area of a shaded circle and the area of an unshaded circle on that is inside the other circle?
To find the area of the circle pi*radius*squared and subtract the area of the figure inside
What is the relationship between segments and circles?
A segment of a circle is an area enclosed by a chord and an arc.
What is the part of a circle bounded by an arc and the segment adjoining it's endpoints?
The segment is called a secant.The area bounded by a secant and its arc is a sector.
Formula to find the area of circle?
Area of a circle = pi*radius2
How can you use a segment in a circle?
if it is the radius you can find area or circumference
How do you find the area of a part of a circle?
The formula to find the area of the segment is given below. It can also be found by calculating the area of the whole pie-shaped sector and subtracting the area of the isosceles triangle △ACB.Formula for the area of a segment of a circle where:C is the central angle in DEGREES R is the radius of the circle of which the segment is a part.π is Pi, approximately 3.142sin is the trigonometry Sine function.
How do you find the area of a segment of a circle?
In order to find the area of a sector of a circle you can use the formula below: pi*r^2 * # of degrees/ 360
What is the formula for circle segment?
The answer will depend on what the formula is for: the perimeter or area of the segment.
How do you find the angle of a triangle within a circle segment?
To find the angle of a triangle within a circle segment, you first need to determine the central angle of the circle segment. Then, you can use the properties of triangles inscribed in circles to find the angle. The angle of the triangle within the circle segment will be half the measure of the central angle.
A line segment that connects the center of a circle to a point on the circle?
what about such a line segment? the length of such a segment is called the radius. the area of the circle is pi*the length of this segment squared the circumference is 2*pi*the length of this segment
How do you find the area of a segment of a circle if the radius of the circle and the chord of the segment each have length 12?
There must be an equilateral triangle within the sector of the circle and so:- Area of sector: 60/360*pi*12*12 = 75.39822369 Area of triangle: 0.5*12*12*sin(60 degrees) = 62.35382907 Area of segment: 75.39822369-62.35382907 = 13.04439462 or about 13 square units
How do you find the radius of a circle if you know the segment?
if the segment is the whole length of the circle divide it by 2
What is a segment has endpoints?
A segment is the area within a circle enclosed by an arc and a chord
What are segments of a circle called?
Exactly as in the question and a segment of a circle is the area enclosed by a chord and an arc of a circle.
What is a segment in a circle?
A segment of a circle is known as an arc.A segment of a circle is called a arc.A segment of a circle is known as an arc.
It is a segment that joints two points on a circle?
No, it's a chord. The area between a chord and the circumference is a segment.
