Dr. J's Maths.com
Where the techniques of Maths
are explained in simple terms.

Geometry - Circles - Mensuration.
Test Yourself 1 - Solutions.


 

  1.
  2.
  3. (i)
 

4.

 

5. (i)

 

(ii)

  6.
  7.
  8.
 

9.

or

98° = 1.71 radians.

∴ 42 = r × 1.71

r = 25 cm.
  10.
  11.
 

12. (i)

(ii)

 

13.

(i)

(ii)

To calculate the new position of P, we need two values:

1. the original distance OP (= 40 cm);

2. The new vertical distance above O (shown as x).

To calculate the latter distance, we know that one angle in the right angle triangle is 180° - 143°14' = 36° 46'.

∴ Vertical distance = 40 + 32 = 72 cm.
  14.
 

15. (i) & (ii)

 
 

16. (i)

(ii)

  17. (i)

An equilateral triangle has all angles = 60°.
The vertical line from the apex = radius.

(ii)

Mixed exercises.

18.

 
 

17.

(i)

(ii)

 

18. (i)

 

19. (i)

(ii)

 

20. (i)

(ii) Length of AB = r θ = 6 × 1.5 = 9 cm.
 

21. (i)

(ii)

 

22. (i)

(ii)