Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

teh face of a circular game token has an area of 10pi cm to the second power. what is the diameter of the coin token. round to the nearest hundredth of a centimeter

Sagot :

semsee45

Answer:

6.32 cm

Step-by-step explanation:

Area of a circle = [tex]\pi r^2[/tex]   (where r is the radius)

Given area = [tex]10\pi[/tex] cm²

⇒ [tex]10\pi=\pi r^2[/tex]

[tex]\implies 10=r^2[/tex]

[tex]\implies r=\sqrt{10}[/tex]

Diameter = 2r    (where r is the radius)

[tex]\implies d=2r=2\sqrt{10}=6.32[/tex] cm (nearest hundredth)

kwang001

Area of a circle = [tex]πr²[/tex]

Given area = [tex]10π cm²[/tex]

[tex]\bold\red{ ⇒} 10π = πr²[/tex]

[tex]\bold\red{⇒ } 10 = r²[/tex]

[tex]\bold\red{⇒ } r = \sqrt{10}[/tex]

Diameter = [tex]2r[/tex]

[tex]\bold\red{⇒}2\sqrt{10} =\bold\pink{6.32 cm} [/tex] [tex]\bold\green{ [nearest \: hundredth]}[/tex]

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.