Mathematics
The relation between the area enclosed by a major segment of a circle and area enclosed by its semi-circle is :
major segment is smaller than the semi-circle.
major segment is bigger than the semi-circle.
major segment is equal to the semi-circle.
Circles
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Answer
The central angle θ for the major segment is greater than 180°, leading to a larger sector area, and consequently, a larger segment area.
∴ Major segment is bigger than the semi-circle.
Hence, option 2 is the correct option.
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Related Questions
In the given figure, AB is the largest chord of the circle, AB = 18 cm and the length of the chord CD is half of length of chord AB, then :
OP = 18 cm and CD = 18 cm
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OP = 18 cm and CD = 9 cm
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The largest chord of a circle is 20 cm, then its radius is :
20 cm
40 cm
10 cm
none of these
The radius of a circle is 5 cm then the length of its longest chord is :
less than 5 cm.
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The diameter of a circle with centre at point O is 30 cm. A point P lies in the same plane as the circle and OP = 20 cm, then point P lies :
on the circumference of the circle
inside the circle.
outside the circle.
nothing can be said