Calculate the area of major segment of a circle, if area of minor segment of the circle is 25 cm²and area of the circle is 75 cm²
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Answer:
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 =πr
2
(
360
c
) (where c is the central angle of segment and r is a radius of the circle)
Then area of minor segment =
7
22
×(14)
2
×
360
60
=
6
22×2×14
=102.67cm
2
We know that the total area of circle =πr
2
=
7
22
(14)
2
=22×2×14=616cm
2
Then area of major arc =616−102.67=513.33cm
2
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