Respuesta :

dillonliyanage

Answer:

Use the formula π*(r^2) where r is radius

Area of big circle, all 3=314.1592654 (approximately) and this is =100%

Area of middle circle=153.93804

Area of small circle=78.53981634

Percentage of middle circle with small circle = (153.93804/314.1592654)*100= 48.999999999999 approx= 49%

Percentage of small circle alone = (78.53981634/314.1592654)*100

= 25%

So 51%= big circle alone

And 51%+25%= 76%

100%-76%=24%

thaovtp1407

Answer:

The percentage of the logo is shaded blue: 24%

Step-by-step explanation:

From the given photo, we can see there are 3 circles.

  • The biggest one with its radius: 5+2+3 = 10 cm
  • The medium one with its radius: 5+2 = 7 cm
  • The smallest one with its radius: 5 cm  

After that, we find the area of each circle with the following formula:

A =π [tex]r^{2}[/tex]

  • The area of the biggest circle is: π [tex]10^{2}[/tex] =  100π [tex]cm^{2}[/tex]
  • The area of the medium circle is: π [tex]7^{2}[/tex] = 49π[tex]cm^{2}[/tex]
  • The area of the smallest circle is: π [tex]5^{2}[/tex] = 25π [tex]cm^{2}[/tex]

So the area of the shade part is:

The area of the medium circle - The area of the smallest circle

= 49π[tex]cm^{2}[/tex] - 25π [tex]cm^{2}[/tex]

= 24π [tex]cm^{2}[/tex]

So the percentage of the logo is shaded blue:

= The area of the shaded blue / The area of the biggest circle

= 24π [tex]cm^{2}[/tex] / 100π [tex]cm^{2}[/tex]

= 0.24

= 24%

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