मराठी

The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given that ∠APB = a°. Calculate, in terms of a° - Mathematics

Advertisements
Advertisements

प्रश्न

The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given that ∠APB = a°.

Calculate, in terms of a°, the value of : obtuse ∠AOB,

Give reasons for your answers clearly.

बेरीज

उत्तर

 
Obtuse ∠AOB = 2∠APB = 2a° 

(Angle at the centre is double the angle at the circumference subtended by the same chord)

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 17: Circles - Exercise 17 (A) [पृष्ठ २६०]

APPEARS IN

सेलिना Mathematics [English] Class 10 ICSE
पाठ 17 Circles
Exercise 17 (A) | Q 33.1 | पृष्ठ २६०

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

The figure given below, shows a Circle with centre O.
Given: ∠AOC = a and ∠ABC = b.

Find the relationship between a and b


In the given figure, A is the centre of the circle, ABCD is a parallelogram and CDE is a straight line. Prove that : ∠BCD = 2∠ABE.


In the given figure, AC is the diameter of the circle with centre O. CD and BE are parallel. Angle ∠AOB = 80° and ∠ACE = 10°.

Calculate:

  1. Angle BEC,
  2. Angle BCD,
  3. Angle CED.


In the given figure, the centre O of the small circle lies on the circumference of the bigger circle. If ∠APB = 75° and ∠BCD = 40°, find :

  1. ∠AOB,
  2. ∠ACB,
  3. ∠ABD,
  4. ∠ADB.


In the figure, O is the centre of the circle and the length of arc AB is twice the length of arc BC. If angle AOB = 108°, find: ∠CAB


The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given that ∠APB = a°.

Calculate, in terms of a°, the value of : ∠ACB,

Give reasons for your answers clearly.


The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given that ∠APB = a°.

Calculate, in terms of a°, the value of : ∠ADB.

Give reasons for your answers clearly.


In the given figure, AOB is a diameter and DC is parallel to AB. If  ∠ CAB = xo ; find (in terms of x) the values of: ∠ DAC


In the given figure, AB = BC = CD and ∠ABC = 132° . Calcualte: ∠AED


In the given figure, AB is a diameter of the circle with centre ‘O’. If ∠COB = 55⁰ then the value of x is:


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×