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Question
If ABC is an arc of a circle and ∠ABC = 135°, then the ratio of arc \[\stackrel\frown{ABC}\] to the circumference is ______.
Options
1 : 4
3 : 4
3 : 8
1 : 2
Solution
If ABC is an arc of a circle and ∠ABC = 135°, then the ratio of arc \[\stackrel\frown{ABC}\] to the circumference is 3 : 8.
Explanation:
∠ABC = 135°
ABC is an arc
Circumference = 360°
Arc = 135°
`(Arc ABC)/(Circumference) = 135/360`
= `3/8`
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