Respuesta :

Assuming that the center of each circle is at point C and D, then both have a radius of 7cm. We know that the formula for solving area of the circle is A=pi*r².
Then we solve area of once circle multiplied by two to get the total area of the given circles. The solution is shown below:
C1 area=3.1416*7²
C1 area=153.9384 cm²
Summation of the area of circle C and D is shown below:
Sum area=2*153.9384
Sum area=307.8768cm²

The answer is 98pi.

The  sum of the areas of circle C and circle D will be equal to the 98 cm^2

What is circle?

The circle is defined as the locus of a point around a fixed center equidistant from each point of the circle.

The area of the circle is calculated by the formula

[tex]A=\pi r^2[/tex]

Hence we can see that the radius of both the circle is 7 cm

So area of the circle C will be

[tex]A=\pi (7)^2=49\pi[/tex]

Now area of the Circle D

[tex]A=\pi r^2[/tex]

[tex]A=\pi (7)^2=49 \pi[/tex]

So the sum of the area of the circle C and the circle D will be

[tex]=49\pi +49\pi =98\pi[/tex]

Hence the sum of the areas of circle C and circle D will be equal to the 98 cm^2

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