The radius of a circle with an area of 60 square

Ответ:

dancer2814

05.01.2022

We know that
area of the circle is equal to
$A=pi* r^{2}$
solve for r
$r= \sqrt{ \frac{A}{pi}}$
for A= $60 cm^{2}$
$r= \sqrt{ \frac{60}{pi}} cm$

we know that
$\sqrt{60} = \sqrt{ 2^{4}*3*5} \\ =2 \sqrt{15}$
so
$\sqrt{ \frac{60}{pi}}=2 \sqrt{ \frac{15}{pi}}$

$2 \sqrt{ \frac{15}{pi}}=2 \frac{ \sqrt{15}}{ \sqrt{pi}} * \frac{ \sqrt{pi}}{ \sqrt{pi}}$
$=2 \frac{ \sqrt{15pi}}{pi} cm$

the answer is
$2 \frac{ \sqrt{15pi}}{pi} cm$

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Ответ:

BarcaOsama

05.01.2022

Mathematics

Another way to represent the radius is $\dfrac{2\sqrt{15}}{\pi}$ .

The radius of a circle with an area of 60 square centimeters is represented by the expression √60/π centimeters.

We need to express the radius in another way from the given options.

Options are as follow:

A. 2√15π

B. 4√5π

C. 2√15π/π

D. 4√5π/π

Now, take the given value and solve it according to our options.

$\begin{aligned}r&=\dfrac{\sqrt{60}}{\pi}\\&=\dfrac{\sqrt{2 \times 2 \times 15}}{\pi}\\&=\dfrac{2\sqrt{15}}{\pi} \end{aligned}$

Hence, another way to represent the radius is $\dfrac{2\sqrt{15}}{\pi}$ .

To know more about the radius, please refer to the link:

link

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Ответ:

maskythegamer

08.02.2020

Mathematics

i mean ok

Step-by-step explanation:

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The radius of a circle with an area of 60 square centimeters is represented by the expression √60/π centimeters. what is another way of expressing the radius?

a. 2√15π
b. 4√5π
c. 2√15π/π
d. 4√5π/π

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The radius of a circle with an area of 60 square centimeters is represented by the expression √60/π centimeters. what is another way of expressing the radius? a. 2√15π b. 4√5π c. 2√15π/π d. 4√5π/π

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The radius of a circle with an area of 60 square centimeters is represented by the expression √60/π centimeters. what is another way of expressing the radius?

a. 2√15π
b. 4√5π
c. 2√15π/π
d. 4√5π/π