Fast what is the difference in the areas of a circle with diameter 4 m and a circle with diameter 6

7 answers
Question:

Fast
what is the difference in the areas of a circle with diameter 4 m and a circle with diameter 6 m? round your answer to the nearest square meter.

Answers

16m2. hope this helps. you have the formula A=pi r^2. plug in the numbers then subtract.

Option b is correct

16 [tex]m^2[/tex]

Step-by-step explanation:

Area of circle (A) is given by:

[tex]A = \pi r^2[/tex]

where, r is the radius of the circle.

As per the statement:

the areas of a circle with diameter 4 m

Formula for Diameter(d) is:

[tex]d = 2r[/tex]

⇒[tex]4 =2r[/tex]

Divide both sides by 2 we get;

r = 2 m

then;

[tex]A= \pi \cdot (2)^2 = 4 \pi[/tex]

It is also given: a circle with diameter 6 m

Similarly;

[tex]6 = 2r'[/tex]

⇒[tex]r' = 3 m[/tex]

then;

[tex]A' = \pi \cdot 3^2 = 9 \pi[/tex]

We have to find the difference in these areas:

[tex]A'-A = 9 \pi -4 \pi = 5 \pi[/tex]

Use [tex]\pi = 3.14[/tex]

then;

[tex]A'-A = 5 \cdot 3.14 = 15.7 m^2 \approx 16 m^2[/tex]

Therefore, the difference in the areas of a circle with diameter 4 m and a circle with diameter 6 m is, [tex]16 m^2[/tex]

The 4 m diameter circle's area is 12.56 and the 6 m one is 28.26, so um,  15.7 is the difference, hope it helps!

B - 16 m2

solve:
(pi)x2^2=12.6

(pi)x3^2=28.3

28.3-12.6=15.7

round to 16

Hello!

To solve this you need to use the equation to find the area of a circle which is

[tex]A = \pi r^{2}[/tex]

A is area
r is radius

Solve both circles
------------------------------------------------------------------------------------------------------
Circle 1
[tex]A = \pi 4^{2}[/tex]

Square the number

[tex]A = 16 \pi[/tex]
------------------------------------------------------------------------------------------------------
Circle 2

A = [tex]\pi 6^{2}[/tex]

Square the number

[tex]A = 36 \pi[/tex]
------------------------------------------------------------------------------------------------------
Finding the answer

To get the answer you subtract the numbers

[tex]36 \pi - 16 \pi = 20 \pi[/tex]

The difference is [tex]20 \pi[/tex] which is about 62.83 units

Hope this helps!

Hi there,

Area of a circle with 4m = π(2)² = 4π m²
 
Area of a circle with 6m = π(3)² = 9π m²

Difference = 9π - 9π = 5π = 16 m² (nearest m²)

16 m² (Answer B)

Hope it helps,
TF

So the formula for the area of the circle is [tex]A=\pi r^2[/tex] . To find the radius is divide the diameters by 2, which in this case its 2 and 3. Now we can find the areas.

[tex]A= \pi 2^2 \\ A=4 \pi[/tex]

[tex]A= \pi3^2 \\ A=9 \pi[/tex]

Now just subtract the areas: [tex]9 \pi -4 \pi =5 \pi[/tex]

The difference in areas is 5 pi, or 15.71.

Similar Solved Works

10 answers

Oración con la palabra jilotear

Oración con la palabra jilotear...
4 answers

Which lines from this excerpt of jefferson davis’s inaugural address show that davis believed that he and his fellow citizens

Which lines from this excerpt of jefferson davis’s inaugural address show that davis believed that he and his fellow citizens had the right to rebel against the government if it failed them? [tex]Which lines from this excerpt of jefferson davis’s inaugural address show that davis believe...
5 answers

The red bow part b wich statement best describes the main theme of the short story

The red bow part b wich statement best describes the main theme of the short story...
3 answers

Gabreil had $60.he spent $36 on a pair of shoes and the rest on a shirt what percent of money did he spend on the pair of shoes

Gabreil had $60.he spent $36 on a pair of shoes and the rest on a shirt what percent of money did he spend on the pair of shoes...
4 answers

Use 22/7 for Pi.What's the area of this circle? It's radius is 70cm.

Use 22/7 for Pi. What's the area of this circle? It's radius is 70cm....
3 answers

3. All about tobaccoa. List 10 diseases that are caused by smoking.b. List 5 other negative effects of using tobacco.

3. All about tobacco a. List 10 diseases that are caused by smoking. b. List 5 other negative effects of using tobacco....
2 answers

Which best explains why georgia’s climate has drawn settlers throughout history? georgia is well suited for shipping.

Which best explains why georgia’s climate has drawn settlers throughout history? georgia is well suited for shipping. georgia is on the atlantic ocean. georgia is well suited for agriculture. georgia is mostly hot and dry all year....
3 answers

2x=5 what is the value of x?​

2x=5 what is the value of x?​...
4 answers

The baker is able to make a perfect pastry 97% of the time. If he bakes 50 pies, what isthe probability that exactly 45 turn

The baker is able to make a perfect pastry 97% of the time. If he bakes 50 pies, what isthe probability that exactly 45 turn out?...
4 answers

Which english monarch had a short reign marked by violence and anger over the issue of england's religion? a. mary i b. elizabeth

Which english monarch had a short reign marked by violence and anger over the issue of england's religion? a. mary i b. elizabeth i c. edward vi d. henry viii...
5 answers

Atriangle has one angel that measures 51 degrees and one angle that measures 39 degrees. what kind of triangle is it?

Atriangle has one angel that measures 51 degrees and one angle that measures 39 degrees. what kind of triangle is it?...
3 answers

write a good paragraph explaining how and why Washington's Strategies and tactics changed during the war...
2 answers

Right now, christina is twice as old as mark. in five year, she will be 50% older than him. what is

Right now, christina is twice as old as mark. in five year, she will be 50% older than him. what is her age now?...
2 answers

Please..helpJiang counted that he'd thrown 90 pitches in a baseball game. He had actually thrown 94 pitches. Calculate the percent error and round to

Please..help Jiang counted that he'd thrown 90 pitches in a baseball game. He had actually thrown 94 pitches. Calculate the percent error and round to the nearest percent....
3 answers

Those people most opposed to president james k. polk's expansionist program were the

Those people most opposed to president james k. polk's expansionist program were the...
6 answers

Job satisfaction can be lost for all of the following reasons except: a. lack of opportunities for promotion b. bickering

Job satisfaction can be lost for all of the following reasons except: a. lack of opportunities for promotion b. bickering with co-workers c. being recognized for a job well doned. having little or no say in decisions that affect you...
1 answer

Please help times will give BRAINLIEST

Please help times will give BRAINLIEST [tex]Please help times will give BRAINLIEST[/tex]...
4 answers

A quality-control inspector checks for defective parts. The table shows the results of the inspectors work. Find the probability

A quality-control inspector checks for defective parts. The table shows the results of the inspectors work. Find the probability that a defective part “passes”. [tex]A quality-control inspector checks for defective parts. The table shows the results of the inspector[/tex]...
4 answers

11213145 A row of plaques covers 392 square feet of space along a wall. If the plaques are 8 feet tall, what length of the wall

11213145 A row of plaques covers 392 square feet of space along a wall. If the plaques are 8 feet tall, what length of the wall do they cover? The length of the wall that the plaques will cover is feet long...
3 answers

The income statement and selected balance sheet information for Direct Products Company for the year ended December 31 are presented

The income statement and selected balance sheet information for Direct Products Company for the year ended December 31 are presented below. Income Statement Sales Revenue Expenses S 41,600 Cost of Goods Sold Depreciation Expense Salaries and Wages Expense Rent Expense Insurance Expense Interest Expe...

-- 0.047803--