Page 53 - ADVANCED MATH F.5

Form Five Form Five

Length of a tangent from a point to a circle
Teaching steps
1. Use Figure 3.15 in the Student’s Book to assist students in
describing the length of a tangent from a point to a circle.
3. 12x − FOR ONLINE READING ONLY
Guide students through group discussion to derive the formula
for determining the length of a tangent from a point to a circle.
Advise them to write their work on a manila card, display them
on the classroom walls, then conduct gallery walk for more
inputs.

2. Use Example 3.25 in the Student’s Book to guide students
through discussions and apply the formula for determining the
length of a tangent from a point to a circle.
3. Instruct students to attempt Exercise 3.10 in the Student’s Book.
Advise students to submit their work, check the correctness of
the answers, and provide them constructive feedback where
necessary.

Answers to Exercise 3.10

1. 11.58 units 2. 12 cm

3. 2 units 4. 2 3 units

2
5. 7 units 7. x + y − 10x + 4y − 2 0=
2
9. 2 11 units

Answers to Revision Exercise 3

1. k = 5
⎛ 25 ⎞
2. M(3, 6), L(6, 3), N ⎜ ,1 ⎟
⎝ 4 ⎠
2 4y = 2 3

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 47 30/06/2024 18:01:53
ADVANCED MATH F.5 TG CHAPTERS.indd 47