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3 years ago

The formula for the circumference of a circle with diameter d is C = πd.

Mathematics

1 answer:

marishachu [46]3 years ago

8 0

Answer:

A) d = $\frac{C}{\pi}$

B) d = $\frac{8}{\pi}$ or 2.55 inches

C) r = 3 inches

Step-by-step explanation:

Given the formula for the circumference of a circle, C = πd, where d represents the diameter of a circle.

<h3>A. solve the formula for d.</h3>

In order to solve for d, divide both sides of the equation by π:

$\frac{C}{\pi} = \frac{\pi d }{\pi}$

d = $\frac{C}{\pi}$ .

<h3 /><h3>B. The circumference of a circle is 8 inches. What is the diameter of the circle?</h3>

Given the circumference of the circle, C = 8 inches:

Use the formula for the diameter of the circle from part A of this post.

d = $\frac{C}{\pi}$

d = $\frac{8}{\pi}$ or 2.55 inches.

<h3>C. The circumference of the circle is 6π inches. what is the radius of the circle.</h3>

Since the diameter of a circle is the same as twice the measure of the radius, r: d = 2 × r

Then, we can rewrite the formula for the circumference of a circle as:

C = 2πr

Divide both sides by 2π to isolate r :

$\frac{C}{2\pi } = \frac{2\pi r}{2\pi }$

r = $\frac{C}{2\pi }$

Given the circumference of a circle, C = 6π:

$r = \frac{6\pi }{2\pi } = 3$

Therefore, the radius of the circle is 3 inches.

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4 years ago

A field is a rectangle with a perimeter of 1220 feet. The length is 100 feet more than the width. Find the width and length of t

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Once you have done that, combine any like terms (combine terms with the same variables and raised to the same power together) which would simplify to this:
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Now that you have your like terms simplified, subtract 200 from both sides to get 4x=1020 and finally, to solve for x, or find the width, divide both sides by 4 to get x=255.

Now that you have your width, now you must find your length as the question asks to find the dimensions of the rectangular field. To find the length, add 100 to the width, 255 since according to the information given, the length is 100 more than the width. When you add 100 to 255, you should get that your length is 355.

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4 years ago

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