Angle Subtended by an Arc; Cyclic Quadrilaterals MCQs
Practice Angle Subtended by an Arc; Cyclic Quadrilaterals 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 an Arc; Cyclic QuadrilateralsQuiz - Solve & Score
Q1. In a circle with centre O, chord AB subtends angle AOB = 140 degrees at the hub. Point P lies on the major arc. What is angle APB?
- A.70 degrees
- B.110 degrees
- C.140 degrees
- D.220 degrees
Answer: A. 70 degrees
Theorem (the angle subtended by an arc at the centre is twice the angle it subtends at any point on the remaining circumference). Inscribed angle = (1/2) * 140 degrees = 70 degrees.
Q2. An arc AB stands at 96 degrees when read from centre O. If Q is any spot on the matching major arc, how wide is the rim angle AQB there?
- A.264 degrees
- B.132 degrees
- C.48 degrees
- D.96 degrees
Answer: C. 48 degrees
Theorem (the angle subtended by an arc at the centre is twice the angle it subtends at any point on the remaining circumference). Inscribed angle = (1/2) * 96 degrees = 48 degrees.
Q3. The minor arc AB carries a centre reading of 130 degrees. From a far-side position R, what does the inscribed angle ARB come to?
- A.130 degrees
- B.230 degrees
- C.65 degrees
- D.115 degrees
Answer: C. 65 degrees
Theorem (the angle subtended by an arc at the centre is twice the angle it subtends at any point on the remaining circumference). Inscribed angle = (1/2) * 130 degrees = 65 degrees.
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