Step-by-step explanation: We are given five different options and we are to select which explanation is correct to derive the formula for a circumference of a circle.

Let 'C' be the circumference and 'd' be the diameter of a circle. Now, we will write the ratio of the circumference to the diameter as

$\dfrac{\textup{C}}{\textup{d}}.$

Also, we know that

$\dfrac{\textup{C}}{\textup{d}}=\pi.$

And diameter of a circle is twice the radius, so

$d=2r.$

Therefore,

$\dfrac{\textup{C}}{2\textup{r}}=\pi\\\\\Rightarrow \textup{C}=2\pi \textup{r}.$

This is the formula for the circumference of a circle. Since this explanation matches exactly with the first option, so the correct option is

(a). Find the relationship between the circumference and the diameter by dividing the length of the circumference and length of the diameter. Use this quotient to set up an equation to showing the ratio of the circumference over the diameter equals to π . Then rearrange the equation to solve for the circumference. Substitute 2 times the radius for the diameter.

8 0

3 years ago

Which are the possible side lengths of a triangle?

vova2212 [387]

Do you know what the answer choices are?

4 0

3 years ago

Read 2 more answers

Juan rode 72 km on his bike in 4 hours. Find the unite rate.

Westkost [7]

Answer:

18 km/hr

Step-by-step explanation:

To find the unit rate, we must find the rate in kilometers per hour.

Let’s divide the total kilometers by the total number of hours.

unit rate = kilometers/hours

Juan rode 72 kilometers in 4 hours.

unit rate = 72 kilometers/ 4 hours

unit rate = 72 km/4 hrs

unit rate = 18 km / hr

The unit rate is 18 kilometers per hour.

3 0

3 years ago

Peter Piper bought 5 pickled pepper plants. Each plant cost $110. He also needed a

marysya [2.9K]

Answer:

6.75

Step-by-step explanation:

10.00-3.25= 5.75

the first pieces of information are irrelevant

7 0

3 years ago