Question

In each of the following figures (attached above), O is the center of the circle. Find the values of x and y.

​

Answer 1

Answer:

Step-by-step explanation:

Consider the following question.

Using a Pythagoras theorem.

 (i)AO=30cm

AB=16cm

AB=BC=y=16cm

x=BO=

(AO)

2

+(AB)

2

​

=

(30)

2

+(16)

2

​

=34cm

y=16cm

(ii)AB=12cm

BC=5cm

CA=

(AB)

2

+(BC)

2

​

=

(12)

2

+(5)

2

​

=13cm

y=

2

x

​

=6.5cm

(iii)AB=24cm

AO=x

OB=18cm

AO=x=

(AB)

2

+(OB)

2

​

=

(24)

2

+(18)

2

​

x=30cm

y=24cm

Hence, this is the required answer.