Workout Section - Weebly

}∈ √∞∡ >

∑This resource can be used for FREE by any teacher / student with an active Math Help Services account

Workout Section

Workout Section 213

1. Perform the following metric conversion.

0.56cm = ? dm


0.0503m = ? mm

3. Calculate the following sum and state your answer in m.

602cm + 477dm = ?


0.09m = ? cm


0.247km = ? dam


299100mm2 = ? m2

7. Calculate the following sum and state your answer in dm2.

34300mm2 + 707cm2 = ?


0.00073hm2 = ? m2


97dm2 = ? m2

10. Calculate the following product and state your answer in m2.

0.67dam x 180dm = ?

11. Identify correctly the sum of the interior angels of a regular hexagon.

12. Identify the correct value of x from the regular polygon given below.

x

13. Identify correctly the name of the regular polygon given below.

14. Calculate the perimeter of the regular polygon.

4cm

This resource can be used for FREE by any teacher / student with an active Math Help Services account

Workout Section

214 Chapter 7: Circles and Regular Polygons

15. Identify the number of diagonals that can be drawn from vertex A in the regular hexagon below.

• A

16. Determine the angle measurements of the 10 congruent triangles that fit into the regular decagon.

17. Identify the number of isosceles triangles that fit into a regular octagon such that the vertices of the isosceles triangle are the center of the regular polygon and any two adjacent vertices of the regular polygon?

18. A regular hexagon has a side length of 40cm. Calculate the hexagon’s perimeter.

19. A regular pentagon has a side length of 7cm. Calculate the pentagon’s perimeter.

20. A square has a side length of 9cm. Calculate the square’s perimeter.

21. An equilateral triangle has a side length of 10cm. Calculate the triangle’s perimeter.

22. Calculate the perimeter of the regular hexagon given below.

3cm

23. Calculate the side length of the regular hexagon given below.

22cm

Area = 1676.4 cm2

24. Calculate the area of the regular pentagon given below.

6.88 cm

10 cm


Workout Section

Workout Section 215

25. Calculate the apothem of the regular hexagon given below.

?

2.5 cm

Area = 30.2 cm2

26. A regular hexagon has a perimeter of 30m and an apothem of 4.33m. Calculate the hexagon’s area.

27. A regular hexagon has a side length of 16cm and an apothem of 13.86cm. Calculate the hexagon’s area.

28. Find x in the regular pentagon whose area is 150cm2.

x=? 10 cm

29. The wading pool at the Contemporary Resort at Disney World in Florida is in the shape of a regular pentagon and has an area of 100 m2. The shortest distance from the center of the pool to any of its sides is 13 m. The maintenance staff at the resort have to replace the safety strip around the outer edge of the pool. How much will the new piece of safety strip cost if it sells for $0.90 per meter?

30. Davey has a square back yard with side lengths of 13 m. He decides that he wants to make a putting green in his back yard in the shape of a regular hexagon with side lengths of 7 m. The shortest distance from the center of his putting green to any of its edges is 5 m. Calculate the area of his back yard that is not taken up by the putting green.

31. Find the area of the regular polygon whose apothem is 11cm, one of the sides measures 15cm, and one of the interior angles is 108°.

32. Given the circle below, determine the measure of ∠EOM

39°

?O MK

LE

33. If the radius of the following circle is 4cm, what is the length of circle’s diameter?

O

R

E

4 cm


Workout Section


34. Given the circle below, determine the measure of ∠EOP.

25°?

O BA

P

E

35. Given the circle below, determine mACB.

•

•

180°

B C

O

A

36. Find the diameter of the circle below, given that the circumference is 20cm.

•

circumference = 20cm

BOA

37. Find the perimeter of the following diagram which forms a quarter of a circle.

A Bradius = 20 cm

D

38. Find the circumference of the following circle.

•

diameter = 6cm

B

O

W

39. Calculate the mSC for the given circle.

5cm

68°

?

TC

S


Workout Section

Workout Section 217

40. Calculate mOP, given that the circumference of the circle is 70cm.

48°

?

O

P

41. Given that mFG = 18cm in the circle, find the circumference of the given circle.

100°18cm

G

F

42. Calculate mUY , given that the circumference of the circle is 75cm.

?U

EY

43. Given that mHGF = 26 cm, calculate mHF in the circle below.

36°

G

H

F

44. Calculate the area of the circle given below.

6 cmO

45. Calculate the area of the shaded region in the diagram below.

3 cm

5 cm11 cm


Workout Section



6 cm11 cm


1 cm7 cm

48. Calculate the area of the following circular sector.

99°

130 m

49. Given the circle and the information below, calculate the radius of the circle.

B

100° A AOB = 8.7 cm2O

A

100°

50. Given the circle and the information below, calculate m∠AOB.

B100°

A AOB = 18 cm2

A Circle = 54 cm2O

A

51. Calculate the area of the following circular sector.

59°

55.5 m


Workout Section

Workout Section 219

52. Given the information in the circle below, calculate the area of sector AOB.

•

A

B

O

45°

9 cm

53. Given that the area of the semi-circular shape below is 121cm2, what is its perimeter?

54. Calculate the area of the shaded region in the diagram given below.

1.69 cm

55. Given that the area of the circular sector below is 80cm2, what is its perimeter?

122°

56. Calculate the area of the shaded region in the diagram given below.

7cm

Workout Section - Weebly

Documents

Transcript of Workout Section - Weebly