Question

A Japanese garden has a circular koi pond in the middle that has a radius of 3 feet. A rectangle with length of 16 feet and width of 14 feet. A circle with radius 3 feet is cut out of the rectangle. What is the area of the Japanese garden around the koi pond? Use 3.14 for Pi.

Answer 1

To find the area of the Japanese garden around the koi pond, subtract the area of the circle from the area of the rectangle.

Step-by-step explanation:

he Japanese garden question asks us to calculate the area of the rectangle and subtract from it the area of the circular koi pond in the middle. To find the area of the garden around the koi pond, we calculate the area of the rectangle and then subtract the area of the circle.

Steps for Calculating the Area

Calculate the area of the rectangle using the formula Area = length × width.

Calculate the area of the circle using the formula A = πr², where π is approximately 3.14 and r is the radius of the circle.

Subtract the area of the circle from the area of the rectangle to find the remaining garden area.

Calculations

First, we find the area of the rectangle: 16 feet × 14 feet = 224 square feet.

Next, we calculate the area of the circle: A = πr² = 3.14 × (3 feet)² = 3.14 × 9 square feet = 28.26 square feet.

Finally, we subtract the area of the circle from the area of the rectangle to get the area of the Japanese garden around the koi pond:

224 square feet - 28.26 square feet = 195.74 square feet.

Therefore, the area of the Japanese garden around the koi pond is 195.74 square feet.