Tony would like yo build a circular pond with depth of 1.5 feet in her backyard. She is considering how many fish a pond will hold. The home and garden store recommends 1 goldfish for every 3 square feet of surface area or 1koi for every 10 square feet of surface area. Complete the chart to determine how many fish Mrs. Jung could have in a pond with a radius of 2,3,or 4 feet. Use 3.14 as the value for pi.

Question

Tony would like yo build a circular pond with depth of 1.5 feet in her backyard. She is considering how many fish a pond will hold. The home and garden store recommends 1 goldfish for every 3 square feet of surface area or 1koi for every 10 square feet of surface area. Complete the chart to determine how many fish Mrs. Jung could have in a pond with a radius of 2,3,or 4 feet. Use 3.14 as the value for pi.

Pond radius
2 feet
3 feet
4 feet

Find the surface area of the pond number of goldfish and number of koi

Answer 1

A = pi * r^2

A = 3.14 * 2^2
A = 3.14 * 4
A = 12.56 square feet

She could have 4 goldfish or 1 koi for the pond with a 3 foot radius.

I'm sure you can figure out the other areas.

Answer 2

To find the surface area of the pond, we need to use the formula for the area of a circle which is A = πr^2, where A is the area and r is the radius.

Let's fill in the chart:

Pond radius | Surface Area (in square feet) | Number of Goldfish | Number of Koi
2 feet | A = π(2)^2 = 12.56 square feet | 12.56 / 3 = 4.19 goldfish | 12.56 / 10 = 1.26 koi
3 feet | A = π(3)^2 = 28.26 square feet | 28.26 / 3 = 9.42 goldfish | 28.26 / 10 = 2.83 koi
4 feet | A = π(4)^2 = 50.24 square feet | 50.24 / 3 = 16.75 goldfish | 50.24 / 10 = 5.02 koi

So, for a pond with a radius of 2 feet, Mrs. Jung could have approximately 4 goldfish or 1 koi. For a pond with a radius of 3 feet, she could have approximately 9 goldfish or 2 koi. For a pond with a radius of 4 feet, she could have approximately 16 goldfish or 5 koi.