To find the sum of the areas of circle c and circle d, we first need to determine the areas of each circle individually. The area of a circle is calculated using the formula:
Area = π × r²
where r is the radius of the circle.
From the options provided, we need to understand what the numbers 7, 14, 49, and 98 represent. If we assume that they refer to the radii of circles c and d, we can take two of these values to represent the radii.
Let’s say:
- Circle c has a radius of 7
- Circle d has a radius of 14
Now we can calculate the areas:
- Area of circle c = π × 7² = π × 49
- Area of circle d = π × 14² = π × 196
Now we sum these areas:
Sum of areas = π × 49 + π × 196 = π × (49 + 196) = π × 245
Therefore, the sum of the areas of circle c and circle d is:
245π (approximately 769.69 if we use 3.14 for π).
If we assigned different radii to circles c and d, we would follow the same process, adjusting our calculations accordingly. However, based on the provided values, the interpretation above seems plausible.