Respuesta :
Step-by-step explanation:
Area of circle= π(d/2)²
For 1st Circle, A1= 36π
For 2nd Circle, A2= 81π/4
A1-A2 = 63π/4
π = 22/7
=49.5unit²
The differences in the areas of circles in square centimeters is 49.455
Formula for area of circle
[tex]A = \pi r^{2}[/tex]
Where,
A is the area of circle
r is the radius of circle
and π = 3.14
What is radius of a circle ?
Radius of circle is the distance from the center of the circle to any point on it's circumference. It is calculated as :
[tex]Radius = \frac{diameter}{2}[/tex]
According to the given question
Diameter of one circle is 12cm and diameter of another circle 9cm.
Area of circle with diameter 12 cm = [tex]\pi (\frac{12}{2} )^{2}[/tex] = [tex](3.14)(6)^{2}[/tex] = 113.04 square cm
Area of circle with diameter 9 cm = [tex]\pi( \frac{9}{2} )^{2} =(3.14)(4.5)^{2} = 63.585[/tex] square cm
Therefore,
The difference between the areas of two circles = (113.04 -63.585) square centimeter = 49.455 square centimeter.
Learn more about the area of circle here:
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