The area of a circle is 25pi. what is the circumfrerence

Ответ:

kharmaculpepper

29.05.2020

Hello!

Given that the area of a circle is found by using the formula: A = πr². Also, the circumference of a circle is: C = 2πr.

In order to find the circumference, we need to find the radius first. We can substitute the area into the area formula and solve for r.

25π = πr² (divide both sides by π)

25 = r² (take the square root of both sides)

r = 5

The radius of this circle is 5 units. With the radius, we can find the circumference.

C = 2π(5)

C = 10π, which is equal to about 31.4 units.

Therefore, the circumference of the circle is 10π units.

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Ответ:

jojokeys

29.11.2021

Mathematics

$(180 - 2x)\degree$

Step-by-step explanation:

In circle with center O, $m\angle BCD = x\degree ... (given) \\$

By inscribed angle theorem:

$m\angle BCD= \frac{1}{2} \times m\widehat {BD} \\\therefore x\degree = \frac{1}{2} \times m\widehat {BD} \\\therefore \widehat {BD} = 2x\degree \\\because m\widehat {BCD}+m\widehat {BD}= 360\degree \\(By\: arc\: sum\: postulate\: of\: a \: circle) \\\therefore m\widehat {BCD}+2x\degree = 360\degree \\\therefore m\widehat {BCD} = 360\degree - 2x\degree \\\\\because m\angle BAD = \frac{1}{2}(m\widehat {BCD} - m\widehat {BD}) \\\\\therefore m\angle BAD = \frac{1}{2}(360\degree - 2x\degree - 2x\degree) \\\\\therefore m\angle BAD = \frac{1}{2}(360\degree - 4x\degree ) \\\\\therefore m\angle BAD = \frac{1}{2}\times 2(180\degree - 2x\degree \\\\ \red {\boxed {\bold {\therefore m\angle BAD =(180- 2x)\degree}}} \\\\$

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The area of a circle is 25pi. what is the circumfrerence in terms of pi?

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