galmeda
Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

The radius of a circle with an area of 60 square centimeters is represented by the expression
60
centimeters. What is
T
another way of expressing the radius?
O 2 155
O 4.55
2157
4.5
T

Sagot :

srirojparthasarthi

Answer:

we know that

area of the circle is equal to

A=pi* r^{2}A=pi∗r

2

solve for r

r= \sqrt{ \frac{A}{pi}}r=

pi

A

for A=60 cm^{2}60cm

2

r= \sqrt{ \frac{60}{pi}} cmr=

pi

60

cm

we know that

\begin{gathered} \sqrt{60} = \sqrt{ 2^{4}*3*5} \\ =2 \sqrt{15} \end{gathered}

60

=

2

4

∗3∗5

=2

15

so

\sqrt{ \frac{60}{pi}}=2 \sqrt{ \frac{15}{pi}}

pi

60

=2

pi

15

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

pi

15

=2

pi

15

∗

pi

pi

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

pi

15pi

cm

the answer is

2 \frac{ \sqrt{15pi}}{pi} cm2

pi

15pi

cm

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.