MATHEMATICS HIGH SCHOOL

A circle has a circumference of 2 pi cm. Which statement about the circumference and area is true? A comparison of the area and circumference is not possible since the area cannot be determined. The numerical values of the circumference and area of the circle are equal. The numerical value of the circumference is greater than the numerical value of the area. The numerical value of the circumference is less than the numerical value of the area.

Answers

Answer 1

Answer:

Answer:

Third option: The numerical value of the circumference is greater than the numerical value of the area.

Step-by-step explanation:

The area of a circle can be calculated with this formula:

$A=\pi r^2$

Where "r" is the radius of the circle.

The circumference of a circle can be calculated with this formula:

$C=2\pi r$

Where "r" is the radius of the circle.

In this case you know that:

$C=2\pi \ cm$

Then, if you subsitute this value into the formula $C=2\pi r$ and you solve for "r", you get that the radius of the circle is:

$2\pi \ cm=2\pi r\n\nr=( 2\pi \ cm)/(2\pi) \n\nr=1\ cm$

Then, substituting the radius into the formula for calculate the area of a circle adn evaluating, you get that its area is:

$A=\pi (1\ cm)^2\n\nA=\pi \ cm^2$

Based on the obtained, you can identify that:

$2\pi >\pi$

Therefore, the numerical value of the circumference is greater than the numerical value of the area.

Answer 2

Answer:

Answer:

C: The numerical value of the circumference is greater than the numerical value of the area.

Step-by-step explanation:

Related Questions

Find the 8th term of geometric sequence {a_{n}, n = 1, 2, 3, . . .} with common ratio r = 0.5 and first term a_{1} = 2.
Which terms and 45p4q have a GCF of 9p3? Check all that apply. 18p3r 27p4q 36p3q6 63p3 72p3q6
I need help on this plz and thank you?!?
What is –15 ÷3/5 ? A.–25 B.–9 C. -1/9 D. -1/25
Select all of the following transformations that would map ΔCDE to ΔTSR. a reflection over the y-axis a reflection over the line x=5.5 a translation of (x, y)→(x+6, y) a rotation of 90° counterclockwise about the point (5.5, 0) a reflection over the line x=4, and a translation of (x, y)→(x+3, y)

Need help with R3, R4, S5

Answers

Answer:

R3 Theorem: If parallel lines are cut by a transversal, then alternate interior angles are congruent.

R4 Theorem: Congruence of segments is reflexive.

S5 ΔABC ≅ ΔCDA

A ship is about to sink in 20 minutes with 15 people on board. A nearby island and a boat are their only escape, but the boat can only carry 5 people at a time. It takes a total of 9 minutes for the boat to go from the ship to the island and back. People can't swim due to the threat of sharks. How many people would survive and reach the island?

Answers

10 people will reach the island and survive

Final answer:

Considering the time constraints of the situation, only 2 trips can be made before the ship sinks. Therefore, only 10 people, as the boat carries 5 per trip, can reach the island alive.

Explanation:

This question is a mathematical problem that can be solved by considering the time constraints. To start, we know that the boat can carry 5 people at a time and it takes 9 minutes to go from the ship to the island and back.

This means that only 5 people can be transported to the island every 9 minutes.

However, the ship will sink in 20 minutes, so the boat will only be able to make 2 trips - one at the beginning, and the second after 9 minutes. Therefore only a total of 10 people (5 people per trip) will be able to reach the island before the ship sinks.

Learn more about Problem-Solving here:

brainly.com/question/34863440

#SPJ11

4y - 3 + 2y = 7y + 2

Answers

Answer:

y = -5

Step-by-step explanation:

4y - 3 + 2y = 7y + 2
4y - 7y + 2y = 3 + 2
-y = 5
y = -5

$\sf{\#FromThePhilippines}$

Brainliest me please :(

Answer:

Y=-5

Step-by-step explanation:

-4y on each side then -2y on each side so it is know -3=y+2. Y must be -5 because -3-2=-5

The perimeter of an equilateral triangle is 12\/3 cm. Find the radius, apothem and area of the equilateral triangle.

Answers

Answer:

Radius - 4

Apothem - 2

Area - $12√(3)$ or 20.8

Step-by-step explanation:

Try to draw out my explanation so you know what this looks like.

~~~~

This is an equilateral triangle, so all sides are the same length. The perimeter can be divided by 3 to get each side length...

$12√(3) /3 = 4√(3)$

Now that we know the side lengths, we can get this started!

~~~~

Now, an equilateral triangle has angles that all equal 60 degrees. We can bisect this into TWO special case triangles of measures 90-60-30.

4 times the square root of 3 will be the hypotenuse, and the smallest leg is always half of that. The larger leg is represented as the small leg times the square root of 3.

$Small=2√(3) \nHypotenuse = 4√(3) \nLong =6$

By the way, the formula for the area can be either of the two:

$A= (1)/(2) bh\nor\nA = (1)/(2) NAS$

we can easily find the area using the first formula.

$A= (1)/(2) (4√(3) )(6)\nA=12√(3)$

The radius is the distance from the center to the corners & the apothem is the distance from the center to a side...

So we can divide the big triangle into a mini triangle at the bottom left/right

The height (small leg) of that triangle would be the apothem

The hypotenuse of that triangle would be the radius.

I did the math really quick because this is getting long. Anyhow, the small leg is 2 so is the apothem, and the hypotenus is 4, so is the radius

Happy April Fool's btw, lol.

Work out (25/9) to the power of -3/2

Answers

To work out (25/9) to the power of -3/2, we can use the property of exponentiation. The negative exponent signifies taking the reciprocal of the base raised to the positive exponent. Additionally, the fractional exponent indicates taking the square root of the base raised to the numerator and then taking the reciprocal of the result raised to the denominator. Let's calculate it step by step.

Amelia used 19/20 pounds of flour to bake a cake. Write the quantity of flour she used in ____ decimal form. The decimal quantity of the flour Amelia used to bake the cake is pound.

Answers

Answer:

The decimal quantity of the flour Amelia used to bake the cake is 0.95 pound.

Step-by-step explanation:

Amelia used 19/20 pounds of flour to bake a cake.

We have to write the quantity of flour she used in decimal form.

To write in decimal form, we will divide 19 by 20.

So, the decimal quantity of the flour Amelia used to bake the cake is 0.95 pound.

.95 just divide 19/20

Other Questions

A square has an area of 144 in2 is reduced by a factor of 1/6

HELP ME PLZ1 The ratio of teachers to students is 1 to 26. Find all equivalent ratios. *a. 52 to 2b. 11 to 286c. 26 to 1d. 5 to 130e. 0.25 to 6.5f. 1/2 to 19 1/2.

Set A(18, 12), (20, 17), (24, 10), (25, 6), (28, 4), (30, 4), (32, 2), (34, 3)Set B(12, 18), (17, 20), (10, 24), (6, 25), (4, 28), (4, 30), (2, 32), (3, 34)a. Graph A, Set Ab. Graph A, Set Bc. Graph B, Set Ad. Graph B, Set B

Janene is solving the equation log3x324=2. Which exponential equation can she use to solve the problem?A. 324^2=3x B. 334^x=2/3 C. (3x)^2=324 D. 3x^2=324