Geometry Help

4/6/2021 MyOpenMath

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G.3 Circumference and Area Resume Exit

Score: 38.5% 5 of 13 pts

Score List Review Questions

Question 1 1/1 pt

Question 2 1/1 pt

Question 3 1/1 pt

Find the circumference of the circle. Use 3.14 for and round to at least 1 decimal place.

5 m

31.41 m

π

For the problem below, is a central angle in a circle of radius . Find the length of arc cut off by .

radians; inches

10 inches

Show Detailed Solution

Question Help:

θ r s θ

θ = 2 r = 5

s =

Written Example

For the problem below, is a central angle in a circle of radius . Find the length of arc cut off by .

; inches

4π inches  

Show Detailed Solution

θ r s θ

θ = π

3 r = 12

s =

4/6/2021 MyOpenMath

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Question 4 0/1 pt

Question 5 0/1 pt

Question 6 0/1 pt

Question 7 0/1 pt

Question 8 1/1 pt

Question Help: Written Example

For the problem below, is a central angle in a circle of radius . Find the length of arc cut off by . Enter exact answers, do not round.

; inches

480 inches  

θ r s θ

θ = 60 ∘ r = 8

s =

For the problem below, is a central angle in a circle of radius . Find the length of arc cut off by .

; inches

inches  

Question Help:

θ r s θ

θ = 210 ∘ r = 8

s =

Written Example

The minute hand of a clock is centimeters long. How far does the tip of the minute hand travel in minutes?

 

2.1 10

A space shuttle miles above the earth is orbiting the earth once every hours. How far does the shuttle travel in hour? (Assume the radius of the earth is miles.) Give your answer as an exact value.

6594   miles

200 8 1 4, 000

4/6/2021 MyOpenMath

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Question 9 1/1 pt

Question 10 0/1 pt

Question 11 0/1 pt

Find the area enclosed by the figure. Use 3.14 for .

3 ft

The area is 28.26 .

π

ft 2

Find the area of the sector formed by central angle in a circle of radius if

;

98  

Show Detailed Solution

Question Help:

θ r

θ = 4 r = 7 m

m2

Written Example

If is the area of the circle, then represents the area of the sector, because gives

the fraction of the area covered by the sector.

Find the area of the sector formed by central angle in a circle of radius if

;

 

Question Help:

A As = A θ

2π

θ

2π

θ r

θ = π

3 r = 6 m

m2

Written Example

Find the area of the sector formed by central angle in a circle of radius if

;

 

θ r

θ = 135 ∘ r = 5 m

m2

4/6/2021 MyOpenMath

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Question 12 0/1 pt

Question 13 0/1 pt

Question Help: Written Example

A central angle of radians cuts off an arc of length inches. find the area of the sector formed.

13.5  

3 3

in2

If the sector formed by a central angle of has an area of square centimeters,

find the radius of the circle.

cm  

find the arc length.

cm  

30 ∘ π

25

3

r =

s =