Question

One straight line can divide a circle into two parts two straight lines can divide a circle into 4 parts what is the maximum number of paths three straight lines can divide a circle into

Answer 1

Answer:

7 parts.

Step-by-step explanation:

See the attached diagram.

Let us assume C is a circle, which is divided into maximum 4 parts by the two straight lines pq and rs.

Now, another straight line mn is so placed that it maximizes the divided parts of the circle.

Hence, the maximum number of parts of a circle that three straight lines can divide is 7. (Answer)

Answer 2

Answer:

The maximum number of paths three straight lines can divide a circle is 7.

Step-by-step explanation:

Consider the provided information.

We need to find the maximum number of paths three straight lines can divide a circle into.

To find the number of maximum paths use the formula: $1+\frac{n(n+1)}{2}$

Where n is the number of lines.

Substitute n=3 in above formula and solve:

$1+\frac{3(3+1)}{2}$

$=1+\frac{3(4)}{2}$

$=1+3(2)$

$=7$

Hence, the maximum number of paths three straight lines can divide a circle is 7.