The document Very Short Answer Type Questions- Circles Class 9 Notes | EduRev is a part of the Class 9 Course Mathematics (Maths) Class 9.

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**Question 1. In the figure, if âˆ ACB = 35Â°, then find the measure of âˆ OAB.**

**Solution: **âˆ AOB = 180Â° - (âˆ 1 + âˆ 2)

= 180Â° - (35Â° + 35Â°) [âˆµ AO = OB âˆ´ âˆ 1 = âˆ 2]

= 110Â°

âˆ ACB = (1/2)(âˆ AOB) = (1/2) (110Â°) = 55Â°

**Question 2. If points A, B and C are such that AB âŠ¥ BC and AB = 12 cm, BC = 16 cm. Find the radius of the circle passing through the points A, B and C. Solution:** âˆµ AB âŠ¥ BC

âˆ´ âˆ B = 90Â° [Angle in a semicircle]

â‡’ AC is a diameter

AC = 20

Radius = 10cm

**Question 3. The angles subtended by a chord at any two points of a circle are equal. Write true or false for the above statement and justify your answer. Solution:** False. If two points lie in the same segment only, then the angles will be equal otherwise they are not equal.

**Question 4. Two chords of a circle of length 10 cm and 8 cm are at the distance 8.0 cm and 3.5 cm, respectively from the centre, state true and false for the above statement. Solution**: False. As the larger chord is at smaller distance from the centre.

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