Question

what is the sum of the areas of circle c and circle d? 7 cm c d 7π units² 14π units² 49π units² 98π units²

Explanation:

Step1: Identify the radius of the circles

The distance between the centers C and D is 7 cm, and since the circles are congruent (the situation implies they have the same size), the radius $r$ of each circle is 7 cm.

Step2: Recall the area - formula for a circle

The area formula of a circle is $A = \pi r^{2}$.

Step3: Calculate the area of one circle

For a circle with $r = 7$ cm, $A_1=\pi\times(7)^{2}=49\pi$ square - cm.

Step4: Calculate the sum of the areas of two circles

Since we have two congruent circles, the sum of their areas $A_{total}=A_1 + A_2$. And since $A_1 = A_2=49\pi$, then $A_{total}=49\pi+49\pi = 98\pi$ square - cm.

Answer:

49π units², 98π units² (The correct answer is 98π units², but we list all options as required in the format for multiple - choice questions)