Answer: The area of the circle can be expression as:
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→ " 200.96 cm² " ;
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or, in terms of " [tex]\pi[/tex] " ; can be expressed as:
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→ " 64 [tex]\pi[/tex] cm² . "
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Step-by-step explanation:
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All squares have 4 (four) equal side lengths.
The sidelight of the square = the diameter, "d" ; of the circle = 16 cm (given).
The radius, " r " ; of the circle: " r = d/2 " ;
r = d / 2 = 16 cm / 2 = 8 cm .
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The area, "A" ; of the circle:
→ " A = [tex]\pi * r^{2}[/tex]
= [tex]\pi[/tex * (8 cm)² " ;
= [tex]\pi[/tex] * 8 cm * 8 cm ;
= [tex]\pi[/tex] * 8 * 8 *cm * cm ;
= [tex]\pi[/tex] * 64 * cm² ;
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So, the area of the circle; in terms of " [tex]\pi[/tex] " ;
is: " 64 [tex]\pi[/tex] cm² " .
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To write in numerical terms:
Substitute: " 3.14 " for: " [tex]\pi[/tex] " ;
And solve:
" 64 [tex]\pi[/tex] = 64 * 3.14 = 200.96 cm² " ;
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So, we can also, write the area of the circle as:
" 200.96 cm² " .
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Hope this is helpful to you!
Wishing you the best!
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