Question 1

Find the length of arc APB in cm. Give your answer to 3 s.f. (No need to type in units for your answer)

Accepted Answer

19 .5

Question 2

Given that the area of a sector is $\frac{176}{9}\pi$ cm²and the angle at the centre of the sector is $110\degree$ , find the radius of the sector in cm.

Accepted Answer

8 cm

Answer

16 cm

Answer

32 cm

Answer

64 cm

Question 3

Find the area of the segment (shaded region) in cm². Give your answer correct to nearest cm². (No need to type in units for your answer)

Accepted Answer

63

Question 4

Find the perimeter of the segment (shaded region) in cm. Give your answer correct to nearest cm. (No need to type in units for your answer)

Accepted Answer

38

Question 5

Express $\frac{176}{9}\pi$ in radians, giving your answer to 3 s.f.

Accepted Answer

4.45 radians

Answer

2.55 radians

Answer

8.01 radians

Answer

1.42 radians

Question 6

Find the value of y.

Accepted Answer

0.804

Answer

46.1

Answer

0.624

Answer

0.72

Question 7

Find the angle (in radians) at the centre of a minor sector given that the arc length is 38 cm and the perimeter of the minor sector is 60 cm.

Accepted Answer

3.45 rad

Answer

1.58 rad

Answer

4.76 rad

Answer

0.633 rad

Question 8

Find the area of the major sector ACB, giving your answer to 3 s.f. (No need to type in units in your answer)

Accepted Answer

107

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