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What is the sum of the areas of circle C and circle D?

7 units
14 units
49 units
98 units

Help Please

What is the sum of the areas of circle C and circle D? 7 units 14 units 49 units 98 units-example-1
User Ruchelle
by
5.0k points

2 Answers

2 votes

Answer:

D

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

User Goe
by
4.9k points
5 votes

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


A=\pi r^2.

Therefore, the sum of the area of circle C and D is given by


S=2A=2\pi r^2=2* \pi*7^2=2*49\pi=98\pi~\textup{sq. units}.

Thus, the required sum of the areas is 98π units².

Option (D) is CORRECT.

User Michael De Keyser
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4.6k points