Question

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

Explanation:

Step1: Recall the formula for the area of a circle

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

Step2: Determine the radius of each circle

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

Step3: Calculate the area of circle \(C\)

Substitute \(r = 7\) into the area formula: \(A_{C}=\pi\times(7)^{2}=49\pi\)

Step4: Calculate the area of circle \(D\)

Substitute \(r = 7\) into the area formula: \(A_{D}=\pi\times(7)^{2}=49\pi\)

Step5: Calculate the sum of the areas

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

Answer:

\(98\pi\) units\(^{2}\)