मराठी

If an are subtends an angle of 90° at the centre of a circle, then the ratio of its length to the circumference of the circle is ______. - Mathematics

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प्रश्न

If an are subtends an angle of 90° at the centre of a circle, then the ratio of its length to the circumference of the circle is ______.

पर्याय

  • 2 : 3

  • 1 : 4

  • 4 : 1

  • 1 : 3

MCQ
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उत्तर

If an are subtends an angle of 90° at the centre of a circle, then the ratio of its length to the circumference of the circle is 1 : 4.

Explanation:

An arc that subtends an angle of 90° at the center of a circle represents a quarter of the full circle because a full circle has 360°

`= (90°)/(360°) = 1/4`

Therefore, the ratio of the arc length to the circumference of the circle is 1 : 4

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