Angle Subtended by a Chord at a Point MCQs
Practice Angle Subtended by a Chord at a Point multiple-choice questions from Circles (Class 9 Maths) - tap an answer for instant feedback and a step-by-step solution. Practice the full set free on the RankByte app.
Angle Subtended by a Chord at a PointQuiz - Solve & Score
Q1. On a Ferris wheel a steel chord is spanned by a rider on the far arc who measures it at 25 degrees. What angle does the same chord make at the centre?
- A.25 degrees
- B.65 degrees
- C.130 degrees
- D.50 degrees
Answer: D. 50 degrees
The central angle equals twice the angle at any point on the major arc. Central angle = 2 x 25 = 50 degrees.
Q2. A taut rope across a circular pond is sighted from the broad arc at 33 degrees by a boatman. Through what angle does this chord open at the centre of the circle?
- A.66 degrees
- B.33 degrees
- C.57 degrees
- D.114 degrees
Answer: A. 66 degrees
The central angle equals twice the angle at any point on the major arc. Central angle = 2 x 33 = 66 degrees.
Q3. Looking over a round dining table, a guest on the wide arc judges a string chord to be 41 degrees. What is the angle the chord subtends at the centre?
- A.98 degrees
- B.49 degrees
- C.41 degrees
- D.82 degrees
Answer: D. 82 degrees
The central angle equals twice the angle at any point on the major arc. Central angle = 2 x 41 = 82 degrees.
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