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Question
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 ______.
Options
2 : 3
1 : 4
4 : 1
1 : 3
Solution
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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