# How do you find the area of a segment in a circle?

## How do you find the area of a segment in a circle?

1. Area of Sector = θ × π 360 × r2 (when θ is in degrees)
2. Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees)
3. L = θ × π180 × r (when θ is in degrees)

### How do you find the area of a segment without the angle?

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 the area of major segment?

Answer: area of segment = area of sector – area of triangle.

What is sector area?

Area of Sector. The area of a sector of a circle is the amount of space enclosed within the boundary of the sector. A sector always originates from the center of the circle. The sector of a circle is defined as the portion of a circle that is enclosed between its two radii and the arc adjoining them.

## How do you find the area of a wedge of a circle?

Area of a Sector of Circle = (θ/360º) × πr2, where, θ is the sector angle subtended by the arc at the center, in degrees, and ‘r’ is the radius of the circle. Area of a Sector of Circle = 1/2 × r2θ, where, θ is the sector angle subtended by the arc at the center, in radians, and ‘r’ is the radius of the circle.

### What part of a circle is a segment from the center of the circle to a point on the circle?

The a line segment from the center of the circle to any point on the circle is a radius of the circle. By definition of a circle, all radii have the same length. We also use the term radius to mean the length of a radius of the circle.

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.

What is area of arc?

So, if l is the length of the arc, r is the radius of the circle and θ is the angle subtended at the centre, then; θ = l/r, where θ is in radians. When the angle of the sector is 2π, then the area of the sector (whole sector) is πr2. When the angle is 1, the area of the sector = πr2/2π = r2/2.

## How do you find the area of a segment of a circle without angle?

Thus the equation of circle is x²+y²=r². 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.

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