The number of square units in the area of circle P is equal to the number of units in the circumference of circle P. Assuming that the diameter of the circle must be greater than P, what is the radius of circle P ?

a. 2
b. 2 pi
c. 4
d. 4 pi
e. cannot be determined from the information given

please answer and explain

pi r^2 = 2pi r

divide by pi*r to get
r=2

Since P is a circle, it makes no sense to say the "diameter must be greater than P".

To solve this problem, we need to use the formulas for the area and circumference of a circle.

The area of a circle is given by the formula A = πr^2, where A is the area and r is the radius of the circle.

The circumference of a circle is given by the formula C = 2πr, where C is the circumference and r is the radius of the circle.

According to the problem, the number of square units in the area of circle P is equal to the number of units in the circumference of circle P. In other words, A = C.

Substituting the formulas for A and C into the equation, we get:
πr^2 = 2πr

To find the radius of circle P, we need to solve this equation for r.

By canceling out πr from both sides we get:
r = 2

Therefore, the radius of circle P is 2.

The answer is option a. 2.

Explanation:
To solve this problem, we used the formulas for the area and circumference of a circle and set them equal to each other. We then simplified the equation and solved for the radius.