Page 148 - NUMINO TG_6A

09Transforming It into a Parallelogram Unit

1 . Solve the word problems. 1. Have the students solve the given word

a. A sheep is tied to the corner of the square fence by a 5 m-long rope. problems independently. Students should
The sheep cannot go inside the fence. Find the area of the land that the
sheep can move around. draw diagrams to show how much each

animal can move around. If the rope is

3 longer than either side of the fence, the
4
Area of of the circle animal can go past a corner.

6m 3.14 5 5 3 58.875 m2 Refer to .
4
5m

b. A cow is tied to the corner of the fence by a 4 m-long rope. The cow cannot
go inside the fence. Find the area of the land that the cow can move
around.

1m Area of 3 of the larger circle
4
3m
3.14 4 4 3 37.68 (m2)
4m 4

6m Area of 1 of the smaller circle
4

(with a radius of 1)

3.14 1 1 1 0.785 (m2)
4

Area of 3 of the larger circle
4

Area of 1 of the smaller circle
4

37.68 0.785 38.465 (m2)

9. Transfoming It into a Parallelogram 81

1b. Since the rope is 4 m long, it will reach over the corner of the

side of the fence by 1 m. This creates another area of a quarter circle 1m
4m
with a radius of 1 m that the cow can move around. 3m
6m
Find the sum of the areas of 3 of a circle with a 4 m radius (yellow) 4m
and 4 (blue).
1
4 of a circle with a 1 m radius

Area of 3 of the circle 3.14 4 4 3 37.68 (m2)
4 4
1
Area of the quarter circle 3.14 1 1 4 0.785 (m2)

Area of the land the cow can move around in 37.68 + 0.785 38.465 (m2)

6A Unit 09 131