Question

what is the sum of the areas of circle c and circle d? 7 cm o d 7π units² 34π units² 49π units² 98π units²

Explanation:

Step1: Recall the area formula of a circle

The area formula of a circle is \(A = \pi r^{2}\), where \(r\) is the radius of the circle.

Step2: Identify the radius of each circle

From the figure, the radius of circle \(C\) and circle \(D\) is \(r = 7\) units.

Step3: Calculate the area of each circle

For circle \(C\), \(A_{C}=\pi\times(7)^{2}=49\pi\). For circle \(D\), \(A_{D}=\pi\times(7)^{2}=49\pi\).

Step4: Calculate the sum of the areas

\(A = A_{C}+A_{D}=49\pi + 49\pi=98\pi\) units².

Answer:

D. \(98\pi\) units²