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If `A B C` is an arc of a circle and `/_A B C=135^@,` then the ratio of arc ` hat A B C` to circumference is 1:4 (b) 3:4 (c) 3:8 (d) 1:2

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To solve the problem, we need to find the ratio of the arc length of arc ABC to the circumference of the circle, given that the angle ∠ABC is 135 degrees. ### Step-by-Step Solution: 1. **Understanding the Angle**: - We are given that ∠ABC = 135°. This angle is the angle subtended by the arc ABC at point B. 2. **Finding the Central Angle**: ...
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RD SHARMA-CIRCLE -All Questions
  1. In a circle, the major arc is 3 times the minor arc. The correspondi...

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  2. An equilateral triangle A B C is inscribed in a circle with centre...

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  3. In a circle with centre O , AB and C D are two diameters perpendicular...

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  4. Two equal circles of radius r intersect such that each passes throug...

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  5. If A B is a chord of a circle, P and Q are the two points on the c...

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  6. If two diameters of a circle intersect each other at right angles, t...

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  7. If A B C is an arc of a circle and /A B C=135^@, then the ratio of...

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  8. The chord of a circle is equal to its radius. The angle subtended by...

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  9. P Q R S is a cyclic quadrilateral such that P R is a diameter of the...

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  10. If A , B , C are three points on a circle with centre O such that /A...

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  11. A B\ a n d\ C D are two parallel chords of a circle with centre O su...

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  12. In a circle of  radious 17 cm, two parallel chords are drawn on op...

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  13. The greatest chord of a circle is called its (a)radius         (b) ...

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  14. Angle formed in minor segment of a circle is acute     (b)  obtu...

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  15. Number of circles that can be drawn through three non-collinear poi...

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  16. In Figure, O is the centre of the circle such that /A O C\ =130^0,\...

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  17. In Figure, if chords A B\ a n d\ C D of the circle intersect eac...

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  18. In Figure, If /A B C=45^0, then /A O C= 45^0 (b) 60^0 (c) 75^0 (d)...

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  19. In Figure, chords A D\ a n d\ B C intersect each other at right ...

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  20. In Figure, O is the centre of the circle and /B D C=42^0dot The mea...

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