What is the sum of the areas of circle C and circle D?
7 units
14 units
49 units
98 units
Help Please
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Answer:
D
Step-by-step explanation:
Circle C and D both have a radius of 7. So the sum of their areas is:
A = π(7)² + π(7)²
A = 98π
Answer: The correct option is
(D) 98π units².
Step-by-step explanation: We are given to find the sum of the areas of circle C and circle D.
From the figure, we note that
both the circle s C and D have equal radii given by
r = 7 cm.
Also, we know that the area of a circle with radius r units is given by
[tex]A=\pi r^2.[/tex]
Therefore, the sum of the area of circle C and D is given by
[tex]S=2A=2\pi r^2=2\times \pi\times7^2=2\times49\pi=98\pi~\textup{sq. units}.[/tex]
Thus, the required sum of the areas is 98π units².
Option (D) is CORRECT.