8.4 Circles, SPM Practice (Short Questions)


8.4 Circles, SPM Practice (Short Questions)
Question 9:
In figure above, ABC is a tangent to the circle centre O at B. AED is a straight line.
Find the value of y.

Solution:
ABO = 90o
BOE = 2 × 40o = 80o
In quadrilateral AEOB,
AEO= 360– ∠ABO  – ∠BOE– 35o
= 360– 90o – 80o – 35o= 155o
yo+ ∠AEO= 180
yo+ 155o = 180o
yo= 180o  – 155o
y o = 25


Question 10:
 

In figure above, ABC is a tangent to the circle centre O, at point B.
The value of xis

Solution:
OBC = 90
BOD = 2 × 50o = 100o
In quadrilateral BODC,
xo= 360– ∠BOD – ∠OBC – 120o
= 360– 100o – 90o – 120o
= 50

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