Question

What is the radius of circle if it's area and circumference are equal in magnitude?

Answer 1

Answer:

Radius = 2 units

Step-by-step explanation:

Let radius = r

Circumference of circle = 2πr

Area of circle = πr²

If circumference = area

2πr = πr^2

2r = r^2

r = 2

Therefore, if a circle's area and circumference are equal in magnitude, its radius is 2 units

Answer 2

Answer:

area = circumference

area = circumferenceπr^2 = 2πr

area = circumferenceπr^2 = 2πr r^2 = 2r

area = circumferenceπr^2 = 2πr r^2 = 2r r =2