Question

Find the area of minor segment of a circle of radius 8 cm with central angle 60 degree

Answer 1

Answer:

In any circle, the length of an arc (l) is proportional to the angle (θ) it creates (subtends) at the centre.

For a circle of radius r, the circumference will be 2π units.

Thus,

the length of the arccircumference=θ360∘,

so ∴ll2πr=θ360∘.=θ360∘×2πr=θ180∘×πr=r×π180∘×θ (Alternate formulations)

Step-by-step explanation:

Areas of segments

Hence the area of the segment (minor) can be calculated by subtracting the area of the triangle from the area of the sector. The area of the major segment can be calculated by taking the area of the minor segment from the total area of the circle

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