What is the distance between (5 - 2i) and (8 + i)?

Step-by-step explanation:

In complex plane we can see a+bi as the point (a,b).

so 5-2i can be seen as (5,-2)

and 8+i can be seen as (8,1)

Now we can use the distance formula to find the distance between the two points .

Distance formula is

Plugging the respective values we get

so Distance is

3√2

Step-by-step explanation:

We have to find distance between two points.

We represent a+bi as (a,b) on graph.

Hence, 5-2i can be represented as (5,-2).

and 8+i can be represented as (8,1).

By using distance formula, we can find distance between two points.

d=

d=

d=

d=

d=

d=

d=3√2 is distance between (5-2i) and (8+i).

circle area = pi * radius^2

if diameter = 10 then radius = 5

circle area = pi * 5^2

circle area = pi * 25

circle area = 78.5398163397 square units

step-by-step explanation: