Question

Joe has a circular garden with a water fountain in the middle. He divides the garden into four equal sections and plants roses, daisies, tulips, and sunflowers in each section.
If the radius of the garden is 14 ft and the radius of the water fountain is 7 ft, how much area of the garden do the roses occupy?

• A. 115.5 sq ft
• B. 110.5 sq ft
• C. 100 sq ft
• D. 120 sq ft

Answer 1

The correct option is A 115.5 sq ft

Total area of the circular garden of radius 14 ft = π × r² = π × 14 × 14

That is, $\frac{22}{7}$ × 14 × 14 = 22 × 2 × 14
= 616 sq ft

Similarly,
Area of the fountain with radius 7 ft = π × r² = π × 7 × 7

That is, $\frac{22}{7}$ × 7 × 7 = 22 × 1 × 7
= 154 sq ft

Thus,
Remaining area = 616 – 154
= 462 sq ft

Now, this area is divided into 4 equal sections for each flower bed.

Thus, area of each section
= $462÷4=115.5$ sq ft

Hence, area occupied by roses is 115.5 square feet.