Mathematics
A sector of a circle can be equal to its segment :
yes
no
none of these two
Circles
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Answer
A segment of a circle is the area bounded by a chord of a circle and the area of the circle between the two endpoints of the chord.
A sector of a circle is a portion of a circle created by the arc of the circle and two radii.
∴ A sector of a circle can be equal to a segment of the same circle when the sector is a semicircle.
Yes, a sector of a circle can be equal to its segment.
Hence, option 1 is the correct option.
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Related Questions
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 :
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nothing can be said
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The given figure shows a circle with center O. If length of arc AQC is double of arc APB and ∠AOB = 65°; then angle AOC is :
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Statement 1: The angle between a radius and tangent of a circle is 90°.
Statement 2: At the point of contact the angle between radius and tangent is equal to one right angle.
Which of the following options is correct?
Both the statements are true.
Both the statements are false.
Statement 1 is true, and statement 2 is false.
Statement 1 is false, and statement 2 is true.