4/26 HG Live Review (10-1) Lesson Slides: 6 Slides

6 Slides • 4 Questions

1

Circles!

Area & Circumference

2

Multiple Choice

Q1: A circular pie has an area of 706.5 cm². What is the radius of the pie?

1

225 cm

2

30 cm

3

15 cm

4

112.5 cm

3

Q1: A circular pie has an area of 706.5 cm². What is the radius of the pie?

$706.5=\pi r^2$
Divide by pi: $r^2=224.8859...$
$r^2=225$
$r=15$

4

Multiple Choice

Q2: I wrapped a tape measure around the trunk of the tree and it was 10 feet. What is the diameter of the tree?

1

1.59 ft

2

31.4 ft

3

3.18 ft

4

10.11 ft

5

Q2: Circumference = 10 feet

$C=d\pi$
$10=d\pi$
Divide by pi:
$d=3.18\ feet$

6

Multiple Choice

Q3: Alex has trained his puppy, Popper, to jump through a ring. According to Alex's calculations, the ring has an area of 50.265 square feet. What is the approximation of the ring's circumference ?

1

50 ft

2

8 ft

3

25 ft

4

35 ft

7

Q3: $50.265=\pi r^2$

$r^2=15.99...$
$r^2=16$
$r=4$
$C=8\pi$
$C=25.13\ feet$

8

Multiple Choice

Q4: Sally tried to solve for the area of circle. Her work is shown. What mistake did Sally make.

1

Sally squared π incorrectly.

2

Sally multiplied the π and radius incorrectly.

3

Sally used diameter instead of the radius.

4

No mistake. Sally solved the problem correctly.

9

Q4: Sally's Mistake:

She used the diameter instead of the radius
$A=\pi\cdot6^2$
$A=36\pi$
$A=113\ square\ feet$

10

Today:

Angles & Arcs

Circles!

Area & Circumference

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