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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

Respuesta :

calculista
we know that
area of the circle is equal to 
[tex]A=pi* r^{2} [/tex]
solve for r
[tex]r= \sqrt{ \frac{A}{pi}} [/tex]
for A=[tex]60 cm^{2} [/tex]
[tex]r= \sqrt{ \frac{60}{pi}} cm[/tex] 

we know that
[tex] \sqrt{60} = \sqrt{ 2^{4}*3*5} \\ =2 \sqrt{15} [/tex]
so
[tex]\sqrt{ \frac{60}{pi}}=2 \sqrt{ \frac{15}{pi}} [/tex]

[tex]2 \sqrt{ \frac{15}{pi}}=2 \frac{ \sqrt{15}}{ \sqrt{pi}} * \frac{ \sqrt{pi}}{ \sqrt{pi}} [/tex]
[tex]=2 \frac{ \sqrt{15pi}}{pi} cm [/tex]

the answer is
[tex]2 \frac{ \sqrt{15pi}}{pi} cm[/tex]

ankitprmr2

Another way to represent the radius is  [tex]\dfrac{2\sqrt{15}}{\pi}[/tex].

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.

[tex]\begin{aligned}r&=\dfrac{\sqrt{60}}{\pi}\\&=\dfrac{\sqrt{2 \times 2 \times 15}}{\pi}\\&=\dfrac{2\sqrt{15}}{\pi} \end{aligned}[/tex]

Hence, another way to represent the radius is  [tex]\dfrac{2\sqrt{15}}{\pi}[/tex].

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

https://brainly.com/question/20188113

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