Question

Write the formula for the area of a segment in a circle of radius r given that the sector angle is θ (in degrees).

Answer 1

Answer:

The formula for the area of a segment in a circle is {πθ/360 - sin θ /2 cos θ/2 }r² .

Step-by-step explanation:

Given :  

Let ‘r’ be the radius of a segment in a circle and Sector angle is θ .

Area of the segment ,A = {πθ/360 - sin θ /2 cos θ/2 }r²

Hence, the formula for the area of a segment in a circle is {πθ/360 - sin θ /2 cos θ/2 }r² .

★★ The region bounded by a chord and the corresponding arc of the circle is called the segment of a circle.

★★The segment which is less than semicircular region is called a minor segment and other segment is called the major segment.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

Answer:

If you know the radius, r, of the circle and you know the central angle, ϴ, in degrees of the sector that contains the segment, you can use this formula to calculate the area, A, of only the segment: A = ½ × r^2 × ((π/180) ϴ - sin ϴ)