A landscape architect designed a circular garden with a radius

Question

A landscape architect designed a circular garden with a radius of (p-5) feet. what is the area, in square feet, of the garden in terms of p? what is the circumference in terms of p?

Answer 1

Hi Sara, the area of a circular garden is given by the formula, A = pi * r². The circumference of a circular garden is given by the formula C = pi * d.

 

Substituting for r in the area formula:

 

A = pi * (p - 5)²

 

A = pi * (p² - 10p + 25) ft²

 

Substituting for d in the circumference formula:

 

d is equal to 2 * r

 

d = 2 * (p - 5)

 

C = pi * 2 * (p - 5)

 

C = pi * 2p * (-10)

 

C = -10 * pi * 2p ft

 

Questions?