Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform.
Sagot :
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)
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]
We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Stay curious and keep coming back to Westonci.ca for answers to all your burning questions.