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# Very Short Answer Type Questions- Circles Class 9 Notes | EduRev

## Mathematics (Maths) Class 9

Created by: Full Circle

## Class 9 : Very Short Answer Type Questions- Circles Class 9 Notes | EduRev

The document Very Short Answer Type Questions- Circles Class 9 Notes | EduRev is a part of the Class 9 Course Mathematics (Maths) Class 9.
All you need of Class 9 at this link: Class 9

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

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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