The equation of the chord at ‘a’ distance from center is ax-ry- ar=0 or Y= a/r(x-r). the area of sector can be found by relating it to area of segment where the area of segment is found without the usage of angle made by the chord.

What is segment in a circle?

A segment of a circle is the area defined by a line from one side of the circumference to the other. Segments are divided into major and minor segments: Major segments are the larger proportion of the circle. Minor segments are the smaller proportion of the circle.

How do you find the area of an angle segment?

A = 0.5 * r squared * ( ((PI/180) * Θ) – sin(Θ)) where Θ is the angle.

What is an example of a segment?

Common characteristics of a market segment include interests, lifestyle, age, gender, etc. Common examples of market segmentation include geographic, demographic, psychographic, and behavioral.

What is the line segment formula?

Line Segment Formula

Now, let us see how to find the length of a line segment when the coordinates of the two endpoints are given. In this case, we use the distance formula, that is, D = √[(x2−x1 x 2 − x 1 )2 + (y2−y1 y 2 − y 1 )2].

What is area of minor segment?

Given the radius of a circle is 14 cm and a minor segment of the central angle is also 60∘. We know that area of segment =πr2(360c) (where c is the central angle of segment and r is a radius of the circle) Then area of minor segment =722×(14)2×36060=622×2×14=102. 67cm2.

What is the area of the shaded segment?

To find the area of the shaded segment, we need to subtract the area of the triangle from the area of the sector.

How do you find an area of a sector?

The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2.