# NCERT Class 9 Solutions: Circles (Chapter 10) Exercise 10.5 – Part 2 (For CBSE, ICSE, IAS, NET, NRA 2022)

Get unlimited access to the best preparation resource for CBSE/Class-9 : get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-9. Exterior Angles on Circle- 3 Types of Exteriro Angle Formed …

Q-3 In the figure , where A, B and C are points on a circle with centre O. Find A, B, C Are Points on a Circle with Center O

Solution:

• Given A, B, and C are points on a circle with center O

The major arc AC subtends an angle AOC at the center and an angle ABC on rest of the circle. Therefore,

• (the angle inside the quadrilateral ABCO) .

In , (radius of the circle) , therefore the triangle is isosceles and hence,

Now,

• (Sum of the angles in triangle)
• ()

Q-4 In the figure, , ∠ , find

Solution:

Given

• P, Q, R, and S are points on a the circle
• ,

Note that, (Angles subtended by the same segment on the circle)

In

• (Sum of the angles on a triangle)
• , ∠

Thus,

Q-5 In the figure, P, Q, R and S are four points on a circle. PQ and SR intersect at a point E such that ∠ SEQ = 130° and ∠ EQR = 20°. Find ∠ SPQ.

Solution:

Given,

• P, Q, R, S are four points on a circle.
• PQ and SR intersect at a point E
• (Angles in the segment of the circle)

In ,

• (Exterior angles of the triangle)

So, ) (Angles subtended by the same arc)

Developed by: